What is the solution for 3y^'+sqrt(x)y=5sqrt(x),y(9)=4 ?

The solution for 3y^'+sqrt(x)y=5sqrt(x),y(9)=4 is y=5-e^{(54-2x^{3/2})/9}

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3y^'+sqrt(x)y=5sqrt(x),y(9)=4

3 y^{^{'}} + x y = 5 x, y (9) = 4

y = 5 - e^{\frac{54 - 2 x ^{\frac{3}{2}}}{9}}

Solution steps

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

Solve linear ODE:

y = 5 - e^{\frac{54 - 2 x ^{\frac{3}{2}}}{9}}

y = 5 - e^{\frac{54 - 2 x ^{\frac{3}{2}}}{9}}

What is the solution for 3y^'+sqrt(x)y=5sqrt(x),y(9)=4 ?
The solution for 3y^'+sqrt(x)y=5sqrt(x),y(9)=4 is y=5-e^{(54-2x^{3/2})/9}