First slide

Methods of solving first order first degree differential equations

Question

$The solution of \frac{d y}{d x} + a y = e^{m x} is (where a + m = 0)$

Moderate

A

$a^{a x} y = x + c$
B

$a^{a x} . y = y + c$
C

$a^{a y} . x = y + c$
D

$a^{a y} . x = x + c$

Solution

$\begin{array}{l} I . F = e^{\int a \cdot d x} \\ Solution is y \cdot e^{α x} = \int e^{(a + m) x} d x = x + c \end{array}$

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