What is the solution for (dy)/(dx)=cos(x)(1+3y) ?

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

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(dy)/(dx)=cos(x)(1+3y)

\frac{d y}{d x} = cos (x) (1 + 3 y)

y = \frac{e ^{3 s i n (x) + c_{1}}}{3} - \frac{1}{3}

Solution steps

\frac{d y}{d x} = cos (x) (1 + 3 y)

Solve separable ODE:

y = \frac{e ^{3 s i n (x) + c_{1}}}{3} - \frac{1}{3}

y = \frac{e ^{3 s i n (x) + c_{1}}}{3} - \frac{1}{3}

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