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

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

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(dy)/(dx)=a^{x+y}

\frac{d y}{d x} = a^{x + y}

y = - \frac{ln ( - a ^{x} - c _{1} ln ( a ) )}{ln ( a )}

Solution steps

\frac{d y}{d x} = a^{x + y}

Solve separable ODE:

y = - \frac{ln ( - a ^{x} - c _{1} ln ( a ) )}{ln ( a )}

y = - \frac{ln ( - a ^{x} - c _{1} ln ( a ) )}{ln ( a )}

\int x^{4} tan^{3} (x^{5}) d x

\int sinh (5 x) d x

\int_{0}^{1} 8 cos (3 x) d x

f (x) = 4 cos^{2} (x)

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

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