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Maths-

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Question

The solution of the differential equation $fraction numerator d y over denominator d x end fraction equals fraction numerator y over denominator x end fraction plus fraction numerator f comma left parenthesis fraction numerator y over denominator x end fraction right parenthesis over denominator empty set left parenthesis fraction numerator y over denominator x end fraction right parenthesis end fraction$ is

$f (\frac{y}{x}) = k x$
$x f (\frac{y}{x}) = k$
$f (\frac{y}{x}) = k y$
$y f (\frac{y}{x}) = k$

The correct answer is: $f left parenthesis fraction numerator y over denominator x end fraction right parenthesis equals k x$

Related Questions to study

Solution of $fraction numerator x d y over denominator x to the power of 2 end exponent plus y to the power of 2 end exponent end fraction equals left parenthesis fraction numerator y over denominator x to the power of 2 end exponent plus y to the power of 2 end exponent end fraction 1 right parenthesis d x$ is

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parallel

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