What is the solution for 3y^'+sqrt(x)y=5sqrt(x) ?

The solution for 3y^'+sqrt(x)y=5sqrt(x) is y=e^{-(2x^{3/2})/9+c_{1}}+5

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3y^'+sqrt(x)y=5sqrt(x)

3 y^{^{'}} + x y = 5 x

y = e^{- \frac{2 x ^{\frac{3}{2}}}{9} + c_{1}} + 5

Solution steps

3 y^{'} (x) + x y = 5 x

Solve separable ODE:

y = e^{- \frac{2 x ^{\frac{3}{2}}}{9} + c_{1}} + 5

y = e^{- \frac{2 x ^{\frac{3}{2}}}{9} + c_{1}} + 5

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What is the solution for 3y^'+sqrt(x)y=5sqrt(x) ?
The solution for 3y^'+sqrt(x)y=5sqrt(x) is y=e^{-(2x^{3/2})/9+c_{1}}+5