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(dy)/(dx)+8y=5e^(-3x)...

(dy)/(dx)+8y=5e^(-3x)

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Solve the following differential equation: 4(dy)/(dx)+8y=5\ e^(-3x)

(dy)/(dx) =y ((e^(3x)-e^(-3x))/(e^(3x) +e^(-3x)))

The solution of the differential equation (dy)/(dx) = e^(3x-2y) +x^(2)e^(-2y) ,is

4 dy/dx + 8y = 5 e^(-3x)

(dy)/(dx) = e^(2x-y) + x^(3) e^(-y)

(dy)/(dx) + 3y = e^(-2x)

(dy)/(dx) + 3y = e^(-2x)

Find (dy)/(dx) , if y=e^(x^(3))