A solution of the differential equation

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Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Differential Equations

Question:

A solution of the differential equation $\left(\frac{d y}{d x}\right)^2-x \frac{d y}{d x}+y=0$, is

Options:

$y=2$

$y=2 x$

$y=2 x-4$

$y=2 x^2-4$

Correct Answer:

$y=2 x-4$

Explanation:

If, $y=2 x-4$, then $\frac{d y}{d x}=2$

Clearly, these values satisfy the differential equation.