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Solving Linear Differential Equations of First Order

Find y2 if at...

Question

Find y(2) if at $x = 0 y (0) = 0$ $\frac{d y}{d x} = x$ is

A

2

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3

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C

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D

5

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Solution

The correct option is A $2$
dy= x dx
integrating both side
$y = \frac{x^{2}}{2} + c$
y(0)=0
$\Rightarrow c = 0$
$y (2) = 2$

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