Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Maths-

General

Easy

Question

Solution of differential equation $fraction numerator d y over denominator d x end fraction plus a y equals e to the power of m x end exponent$ is

$(a + m) y = e^{m x} + c$
$y e^{a x} = m e^{m x} + c$
$y = e^{m x} + c e^{- a x}$
$(a + m) y = e^{m x} + c e^{- a x}$

hint Hint:

In this question we have to find the solution of the differential equation. For this we will find the IF and then the solution.

The correct answer is: $left parenthesis a plus m right parenthesis y equals e to the power of m x end exponent plus c e to the power of negative a x end exponent$

$fraction numerator d y over denominator d x end fraction plus a y equals e to the power of m x end exponent I n t e g r a t i n space f a c t o r equals e to the power of integral P d x end exponent equals e to the power of integral a space d x space end exponent equals e to the power of a x end exponent y open parentheses e to the power of a x end exponent close parentheses equals integral e to the power of a x end exponent. e to the power of m x end exponent space. d x plus C space space space space space space space space space space space equals integral e to the power of open parentheses a plus m close parentheses x end exponent d x plus C space space space space space space space space space space space equals fraction numerator e to the power of open parentheses a plus m close parentheses x end exponent over denominator a plus m end fraction plus C rightwards double arrow open parentheses a plus m close parentheses y equals fraction numerator e to the power of a x end exponent. e to the power of m x end exponent over denominator e to the power of a x end exponent end fraction plus C over e to the power of a x end exponent rightwards double arrow open parentheses a plus m close parentheses y equals e to the power of m x end exponent plus C e to the power of negative a x end exponent$

Related Questions to study

In given circuit when switch $S$ has been closed then charge on capacitor $A$ and $B$ respectively are

In given circuit when switch $S$ has been closed then charge on capacitor $A$ and $B$ respectively are

physics-General

Solution of differential equation $d y minus sin space x sin y space d x equals 0$ is

Solution of differential equation $d y minus sin space x sin y space d x equals 0$ is

In the given figure, a hollow spherical capacitor is shown. The electric field will not be zero at

In the given figure, a hollow spherical capacitor is shown. The electric field will not be zero at

physics-General

parallel

In the capacitor shown in the circuit is changed to 5 V and left in the circuit, in 12s the charge on the capacitor will become $left parenthesis e equals 2.718 right parenthesis$

In the capacitor shown in the circuit is changed to 5 V and left in the circuit, in 12s the charge on the capacitor will become $left parenthesis e equals 2.718 right parenthesis$

physics-General

The solution of the differential equation $2 x fraction numerator d y over denominator d x end fraction minus y equals 3$ represent

The solution of the differential equation $2 x fraction numerator d y over denominator d x end fraction minus y equals 3$ represent

The stress - strain graphs for materials A and B are as shown. Choose the correct alternative

The stress - strain graphs for materials A and B are as shown. Choose the correct alternative

physics-General

parallel

In the experiment to determine Young’s modulus of the material of a wire under tension used in the arrangement as shown. The percentage error in the measurement of length is ‘a’, in the measurement of the radius of the wire is ‘b’ and in the measurement of the change in length of the wire is ‘c’. Percentage error in the measurement of Young’s modulus for a given load is

In the experiment to determine Young’s modulus of the material of a wire under tension used in the arrangement as shown. The percentage error in the measurement of length is ‘a’, in the measurement of the radius of the wire is ‘b’ and in the measurement of the change in length of the wire is ‘c’. Percentage error in the measurement of Young’s modulus for a given load is

physics-General

The graph shows the change ' ' Dl in the length of a thin uniform wire used by the application of force ‘F’ at different temperatures T₁ and T₂ The variation suggests that

The graph shows the change ' ' Dl in the length of a thin uniform wire used by the application of force ‘F’ at different temperatures T₁ and T₂ The variation suggests that

physics-General

The load versus extension graph for four wires of same material is shown. The thinnest wire is represented by the line

The load versus extension graph for four wires of same material is shown. The thinnest wire is represented by the line

physics-General

parallel

A 2 $mu F$ capacitor is charged as shown in the figure. The percentage of its stored energy dissipated after the switch $s$ is turned to positions 2 is

A 2 $mu F$ capacitor is charged as shown in the figure. The percentage of its stored energy dissipated after the switch $s$ is turned to positions 2 is

physics-General

What is the potential difference between points $A a n d B$ in the circuit shown?

What is the potential difference between points $A a n d B$ in the circuit shown?

physics-General

If m and n are order and degree of the equation $open parentheses fraction numerator d squared y over denominator d x squared end fraction close parentheses to the power of 5 plus 4 times fraction numerator open parentheses fraction numerator d squared y over denominator d x squared end fraction close parentheses cubed over denominator fraction numerator d cubed y over denominator d x cubed end fraction end fraction plus fraction numerator d cubed y over denominator d x cubed end fraction equals x squared minus 1$ then

If m and n are order and degree of the equation $open parentheses fraction numerator d squared y over denominator d x squared end fraction close parentheses to the power of 5 plus 4 times fraction numerator open parentheses fraction numerator d squared y over denominator d x squared end fraction close parentheses cubed over denominator fraction numerator d cubed y over denominator d x cubed end fraction end fraction plus fraction numerator d cubed y over denominator d x cubed end fraction equals x squared minus 1$ then

parallel

What is the potential difference across 2 $mu$ F capacitor in the circuit shown?

What is the potential difference across 2 $mu$ F capacitor in the circuit shown?

physics-General

Two insulating plates are both uniformly charged in such a way that the potential difference between them is $V subscript 2 end subscript minus V subscript 1 end subscript equals 20$ V. ( $i e$ , plate 2 is at a higher potential). The plates are separated by $d equals 0.1$ m and can be treated as infinitely large. An electron is released from rest on the inner surface of plate 1. What is its speed when it hits plate 2? (e=1.6 $cross times 10 to the power of negative 19 end exponent C comma m subscript 0 end subscript equals 9.11 cross times 10 to the power of negative 31 end exponent k g right parenthesis$

Two insulating plates are both uniformly charged in such a way that the potential difference between them is $V subscript 2 end subscript minus V subscript 1 end subscript equals 20$ V. ( $i e$ , plate 2 is at a higher potential). The plates are separated by $d equals 0.1$ m and can be treated as infinitely large. An electron is released from rest on the inner surface of plate 1. What is its speed when it hits plate 2? (e=1.6 $cross times 10 to the power of negative 19 end exponent C comma m subscript 0 end subscript equals 9.11 cross times 10 to the power of negative 31 end exponent k g right parenthesis$

physics-General

Calculate the force ' ' F that is applied horizontally at the axle of the wheel which is necessary to raise the wheel over the obstacle of height 4m. Radius of the wheel is 1m and its mass is $open parentheses g equals 10 m s to the power of negative 2 end exponent close parentheses$

Calculate the force ' ' F that is applied horizontally at the axle of the wheel which is necessary to raise the wheel over the obstacle of height 4m. Radius of the wheel is 1m and its mass is $open parentheses g equals 10 m s to the power of negative 2 end exponent close parentheses$

physics-General

parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.