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

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

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

\frac{d y}{d x} = e^{5 x - 5 y}

y = \frac{ln ( e ^{5 x} + c _{1} )}{5}

Solution steps

\frac{d y}{d x} = e^{5 x - 5 y}

Solve separable ODE:

y = \frac{ln ( e ^{5 x} + c _{1} )}{5}

y = \frac{ln ( e ^{5 x} + c _{1} )}{5}

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

3 x^{2} y^{2} d x + 2 x^{3} y d y = 0, y (1) = 2

(\frac{d v}{d t} + k v (t)) e^{k t} = g e^{k t}

y^{^{'}} (t) = (1 + y) (3 - y), y (0) = 4

\frac{d y}{d x} = 0.04 - \frac{y}{\frac{4320}{7}}

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