1. Find the general/particular solution of the following linear equation at first order. a. x²dy - sin2xdx + 3xydx = 0 b. vdx-2x = 3y² – 2; y = 1 when x = 1 dy dy C. + 2x-¹y = x² + 2 dx

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Chapter2: Second-order Linear Odes
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1.
Find the general/particular solution of the following linear equation at first order.
a. x²dy sin2xdx + 3xydx = 0
b. vdx-2x = 3y² -2; y = 1 when x = 1
C.
dy
dy
dx
+ 2x-¹y = x² + 2
Transcribed Image Text:1. Find the general/particular solution of the following linear equation at first order. a. x²dy sin2xdx + 3xydx = 0 b. vdx-2x = 3y² -2; y = 1 when x = 1 C. dy dy dx + 2x-¹y = x² + 2
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