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Maths-

General

Easy

Question

Order and degree of differential equation $fraction numerator d squared y over denominator d x squared end fraction equals open square brackets y plus open parentheses fraction numerator d y over denominator d x end fraction close parentheses squared close square brackets to the power of 1 divided by 4 end exponent$ are

4,2
1,2
1,4
2,4

hint Hint:

In this question we have to find the order and degree of the given differential equation. For this we will first arrange the equation in a proper way. Now we know that the order of a differential equation is the order of the highest order derivative involved in the differential equation and the degree of a differential equation is the exponent of the highest order derivative involved in the differential equation.

The correct answer is: 2,4

$fraction numerator d squared y over denominator d x squared end fraction equals open square brackets y plus open parentheses fraction numerator d y over denominator d x end fraction close parentheses squared close square brackets to the power of 1 divided by 4 end exponent rightwards double arrow open parentheses fraction numerator d squared y over denominator d x squared end fraction close parentheses to the power of 4 equals y plus open parentheses fraction numerator d y over denominator d x end fraction close parentheses squared rightwards double arrow open parentheses fraction numerator d squared y over denominator d x squared end fraction close parentheses to the power of 4 minus open parentheses fraction numerator d y over denominator d x end fraction close parentheses squared equals y N o w space w e space c a n space s e e space t h a t space o r d e r space equals 2 space a n d space d e g r e e equals 4$

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