x(dy)/(dx)+2y=sin(x)

Lösung

x \frac{d y}{d x} + 2 y = sin (x)

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

Schritte zur Lösung

x \frac{d y}{d x} + 2 y = sin (x)

Solve linear ODE:

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

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

\int \frac{e ^{8 x}}{x} d x

\int \frac{sin ( 21 x )}{1 + cos ^{2} ( 21 x )} d x

\int_{0}^{1} x (1 - x) d x

a re a 6 x^{2}, x^{2} + 8

x \to 0 lim (\frac{14}{tan ( x )})