What is the solution for (dy)/(dx)= y/x+5x+4 ?

The solution for (dy)/(dx)= y/x+5x+4 is y=5x^2+4xln(x)+c_{1}x

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(dy)/(dx)= y/x+5x+4

\frac{d y}{d x} = \frac{y}{x} + 5 x + 4

y = 5 x^{2} + 4 x ln (x) + c_{1} x

Solution steps

\frac{d y}{d x} = \frac{y}{x} + 5 x + 4

Solve linear ODE:

y = 5 x^{2} + 4 x ln (x) + c_{1} x

y = 5 x^{2} + 4 x ln (x) + c_{1} x

\frac{\partial ^{2}}{\partial y ^{2}} (x^{2} - y^{2})

\frac{\partial}{\partial x} (14 x e^{y})

x^{2} y^{^{'}} = y^{2} + x^{2}

\frac{d}{d x} ((x + 2) e^{- x})

\frac{d y}{d x} = \frac{x}{34 + x ^{2}}

What is the solution for (dy)/(dx)= y/x+5x+4 ?
The solution for (dy)/(dx)= y/x+5x+4 is y=5x^2+4xln(x)+c_{1}x