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

The solution for ((dy)/(dx))y=e^{5x} is y=sqrt((2e^{5x)+c_{1})/5},y=-sqrt((2e^{5x)+c_{1})/5}

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

(\frac{d y}{d x}) y = e^{5 x}

y = \frac{2 e ^{5 x} + c _{1}}{5}, y = - \frac{2 e ^{5 x} + c _{1}}{5}

Solution steps

(\frac{d y}{d x}) y = e^{5 x}

Solve separable ODE:

y = \frac{2 e ^{5 x} + c _{1}}{5}, y = - \frac{2 e ^{5 x} + c _{1}}{5}

y = \frac{2 e ^{5 x} + c _{1}}{5}, y = - \frac{2 e ^{5 x} + c _{1}}{5}

x^{^{'}} = \frac{- 4 x}{150}

y^{^{'}} + 3 y = 1, 3 sin (t) y (0) = 6

x^{2} \frac{d y}{d x} = y (4 x + 2)

\frac{d y}{d x} y = 11 - 2 x^{4} - 3 x^{3}

e^{x} y^{2} y^{^{'}} = 3, y (0) = 3

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