First slide

Methods of solving first order first degree differential equations

Question

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

Easy

A

$y = 2$
B

$y = 2 x$
C

$y = 2 x - 4$
D

$y = 2 x^{2} - 4$

Solution

If $y = 2 x - 4, then \frac{d y}{d x} = 2$ Clearly, these values satisfy the differential equation

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