Find the value of constant “a” such that axe^(−x ) is a solution of Differential equation (d^2 y/dx^2 )+3(dy/dx)+2y=2e^(−x) solve D.E for which y=1 and (dy/dx)=3 when x=0


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Question Number 77128 by peter frank last updated on 03/Jan/20

$F i n d t h e v a l u e o f c o n s t a n t$ $‘ ‘ a^{″} s u c h t h a t {a x e}^{- x} i s$ $a s o l u t i o n o f D i f f e r e n t i a l$ $e q u a t i o n$ $\frac{d^{2} y}{{d x}^{2}} + 3 \frac{d y}{d x} + 2 y = 2 e^{- x}$ $s o l v e D . E f o r w h i c h$ $y = 1 a n d \frac{d y}{d x} = 3 w h e n$ $x = 0$
	Answered by peter frank last updated on 06/Jan/20

	Answered by peter frank last updated on 06/Jan/20

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