What is the solution for (dy)/(dx)=sin(x)y+e^x ?

The solution for (dy)/(dx)=sin(x)y+e^x is y=(integral of e^{x+cos(x)})/(e^{cos(x))}

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(dy)/(dx)=sin(x)y+e^x

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

y = \frac{\int e ^{x + c o s (x)} d x}{e ^{c o s (x)}}

Solution steps

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

Solve linear ODE:

y = \frac{\int e ^{x + c o s (x)} d x}{e ^{c o s (x)}}

y = \frac{\int e ^{x + c o s (x)} d x}{e ^{c o s (x)}}

What is the solution for (dy)/(dx)=sin(x)y+e^x ?
The solution for (dy)/(dx)=sin(x)y+e^x is y=(integral of e^{x+cos(x)})/(e^{cos(x))}