What is the solution for (dy)/(dx)+7=e^{7x+y-5} ?

The solution for (dy)/(dx)+7=e^{7x+y-5} is y=-ln(-x-c_{1})-7x+5

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(dy)/(dx)+7=e^{7x+y-5}

\frac{d y}{d x} + 7 = e^{7 x + y - 5}

y = - ln (- x - c_{1}) - 7 x + 5

Solution steps

\frac{d y}{d x} + 7 = e^{7 x + y - 5}

Solve using substitution:

y = - ln (- x - c_{1}) - 7 x + 5

y = - ln (- x - c_{1}) - 7 x + 5

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What is the solution for (dy)/(dx)+7=e^{7x+y-5} ?
The solution for (dy)/(dx)+7=e^{7x+y-5} is y=-ln(-x-c_{1})-7x+5