What is the solution for (dy)/(dx)=e^{(6y+7x)},y(0)=15 ?

The solution for (dy)/(dx)=e^{(6y+7x)},y(0)=15 is y=-(ln(-6/7 e^{7x}+1/(e^{90)}+6/7))/6

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(dy)/(dx)=e^{(6y+7x)},y(0)=15

\frac{d y}{d x} = e^{(6 y + 7 x)}, y (0) = 15

y = - \frac{ln ( - \frac{6}{7} e ^{7 x} + \frac{1}{e ^{90}} + \frac{6}{7} )}{6}

Solution steps

\frac{d y}{d x} = e^{(6 y + 7 x)}

Solve separable ODE:

y = - \frac{ln ( - \frac{6}{7} e ^{7 x} + \frac{1}{e ^{90}} + \frac{6}{7} )}{6}

y = - \frac{ln ( - \frac{6}{7} e ^{7 x} + \frac{1}{e ^{90}} + \frac{6}{7} )}{6}

50 y^{^{'}} + 20 y^{^{'}} + y = 5000

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

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

(x^{3} + 1) \cdot y^{^{'}} = x^{2} \cdot y

y^{^{'}} = y^{3} \cdot e^{- x}

What is the solution for (dy)/(dx)=e^{(6y+7x)},y(0)=15 ?
The solution for (dy)/(dx)=e^{(6y+7x)},y(0)=15 is y=-(ln(-6/7 e^{7x}+1/(e^{90)}+6/7))/6