Solve differential equation y'-y=(3x^2+4x-3)e^x

Khaleesi Herbert 2021-02-02 Answered
Solve differential equationyy=(3x2+4x3)ex
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joshyoung05M
Answered 2021-02-03 Author has 97 answers

yy=(3x2+4x3)ex
dy/dx+Py=Q
P= -1, Q=(3x2+4x3)ex
I.F.=edx=ex
y(I.F.)=Q(I.F.)dx+c
yex=(3x2+4x3)exexdx+c
yex=(3x2+4x3)dx+c
yex=3x2dx+4xdx3dx+c
yex=x3+2x23x+c
y=x3ex+2x2ex3xex+cex
where c is arbitrary constant

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Jeffrey Jordon
Answered 2021-10-21 Author has 2313 answers

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