Solving ode with complex numbers

  • Thread starter cragar
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  • #1
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I want to solve [itex] y''+y'+y=(sin(x))^2 [/itex] and try to use
[itex] y=Ae^{ix} [/itex] but then when I square it I get [itex] A^2 e^{2ix} [/itex]
I found y' and y'' and solved for A and it didn't work I guess I could use the formula for reducing powers but I would like to try and get around that.
 

Answers and Replies

  • #2
lurflurf
Homework Helper
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hint
$$(D^3+4D)(\sin(x))^2=0$$
or
(sin(x))^2 is a solution of y'''+4y

chose the particular solution from those solutions
 

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