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

Lösung

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

y = - \frac{cos ( x )}{2} + \frac{sin ( x )}{2} + \frac{c _{1}}{e ^{x}}

Schritte zur Lösung

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

Solve linear ODE:

y = - \frac{cos ( x )}{2} + \frac{sin ( x )}{2} + \frac{c _{1}}{e ^{x}}

y = - \frac{cos ( x )}{2} + \frac{sin ( x )}{2} + \frac{c _{1}}{e ^{x}}

\int_{- \frac{π}{4}}^{0} 2 sec^{3} (x) d x

\frac{d}{d x} (1 - \frac{x}{2} - ln (2 + 9 x - x^{2}))

\int e^{x} sin (x) sin (3 x) d x

\frac{d}{d x} (x^{\frac{1}{x ^{2}}})

\frac{d}{d x} (\frac{cos ( x ) - 1}{x ^{2}})