Solve the following first-order linear differential equations? y'−4x^3y=8x^3

zapri4j 2022-09-23 Answered
Solve the following first-order linear differential equations? y - 4 x 3 y = 8 x 3
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Answers (1)

Absexabbelpjl
Answered 2022-09-24 Author has 8 answers
The ODE is
y - 4 x 3 y = 8 x 3
d y d x = 8 x 3 + 4 x 3 y = 4 x 3 ( 2 + y )
d y y + 2 = 4 x 3 d x
d y y + 2 = 4 x 3 d x
ln ( y + 2 ) = x 4 + C 1
y + 2 = e x 4 + C 1 = e C 1 e x 4 = C e x 4
y = C e x 4 - 2
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