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

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

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

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

y = \frac{sin ( x )}{1 + x} + \frac{c _{1}}{1 + x}

Solution steps

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

Solve linear ODE:

y = \frac{sin ( x )}{1 + x} + \frac{c _{1}}{1 + x}

y = \frac{sin ( x )}{1 + x} + \frac{c _{1}}{1 + x}

\frac{d}{d x} ((x^{2} - 7) (x^{3} + 4 x + 2))

\frac{\partial}{\partial x} (sin (2 x + 9 y - 7 z))

\int \frac{1}{1 + e ^{2 x}} d x

\frac{1}{3} x, x + 4, [4, - 1]

\frac{d y}{d x} = \frac{( 1 - y )}{1 + x ^{2}}

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