What is the solution for (dy)/(dx)=e^{5x}+8y ?

The solution for (dy)/(dx)=e^{5x}+8y is y=-(e^{5x})/3+c_{1}e^{8x}

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(dy)/(dx)=e^{5x}+8y

\frac{d y}{d x} = e^{5 x} + 8 y

y = - \frac{e ^{5 x}}{3} + c_{1} e^{8 x}

Solution steps

\frac{d y}{d x} = e^{5 x} + 8 y

Solve linear ODE:

y = - \frac{e ^{5 x}}{3} + c_{1} e^{8 x}

y = - \frac{e ^{5 x}}{3} + c_{1} e^{8 x}

y^{3} - (2 x + 4) + 3 x y^{2} y^{^{'}} = 0

7 cos (2 x), 7 sin (4 x), x = 0, x = \frac{π}{4}

2 x^{3} + 3 x^{2} - 12 x + 2

\frac{\partial}{\partial x} (sin (t))

\int \frac{1}{- t ^{2} + 4 t - 3} d t

What is the solution for (dy)/(dx)=e^{5x}+8y ?
The solution for (dy)/(dx)=e^{5x}+8y is y=-(e^{5x})/3+c_{1}e^{8x}