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<question 1> find a solution for the given differential equation. if possible, find a particular solution...

<question 1>

find a solution for the given differential equation. if possible, find a particular solution byspecifying the integral coefficient. please show details of your work.

1) y'+(x^2)y=(e^(-x^3)sinhx)/3y^3

(hint : integral of sinh is cosh : you can prove this by using the definition of cosh and sinh)

2) y''+2y'+y=2xsinx

3) y''+10y'+25y=100sinh(5x)

(hint : sin(5x)=1/2(e^5x-e^(-5x))

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