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Maths-

General

Easy

Question

The solution of $left parenthesis x minus y to the power of 3 end exponent right parenthesis d x plus 3 x y to the power of 2 end exponent d y equals 0$ is

Iog x $+ \frac{x}{y}$
Iog x $+ \frac{y^{3}}{x} = k$
Iog $x - \frac{x}{y^{3}} = k$
$l o g x y - y^{3} = k$

The correct answer is: Iog x $plus fraction numerator y to the power of 3 end exponent over denominator x end fraction equals k$

Related Questions to study

$y equals fraction numerator x over denominator x plus 1 end fraction$ is a solution of the differential equation —.

For such questions, we should know different method to solve differential equation.

$y equals fraction numerator x over denominator x plus 1 end fraction$ is a solution of the differential equation —.

For such questions, we should know different method to solve differential equation.

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For such questions, we should know the definition of power.

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For such questions, we should know the definition of power.

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parallel

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parallel

The general solution of $y to the power of 2 end exponent d x plus left parenthesis x to the power of 2 end exponent minus x y plus y to the power of 2 end exponent right parenthesis d y equals 0$ is

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parallel

$text The line end text x minus y plus 2 equals 0 text touches the parabola end text y to the power of 2 end exponent equals 8 x text at the end text$ point

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parallel

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The area of the region consisting of points $left parenthesis x comma blank y right parenthesis$ satisfying $vertical line x plus-or-minus y vertical line less or equal than 2$ and $x to the power of 2 end exponent plus y to the power of 2 end exponent greater or equal than 2$ is

parallel

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