What is the solution for (dy)/(dx)=e^{(6y+3x)} ?

The solution for (dy)/(dx)=e^{(6y+3x)} is y=-(ln(-2e^{3x}-c_{1}))/6

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(dy)/(dx)=e^{(6y+3x)}

\frac{d y}{d x} = e^{(6 y + 3 x)}

y = - \frac{ln ( - 2 e ^{3 x} - c _{1} )}{6}

Solution steps

\frac{d y}{d x} = e^{(6 y + 3 x)}

Solve separable ODE:

y = - \frac{ln ( - 2 e ^{3 x} - c _{1} )}{6}

y = - \frac{ln ( - 2 e ^{3 x} - c _{1} )}{6}

\int (x^{4} - 2 x) d x

\frac{d}{d x} (x arcsec (x^{3}))

x y d x + (x + 1) d y = 0

\int (x^{2} - 4)^{3} (2 x) d x

f (x) = 7 x - 4 x, at x = 1

What is the solution for (dy)/(dx)=e^{(6y+3x)} ?
The solution for (dy)/(dx)=e^{(6y+3x)} is y=-(ln(-2e^{3x}-c_{1}))/6