y^'+y=1.01cos(10x)

Lösung

y^{^{'}} + y = 1.01 cos (10 x)

y = 1.01 (0.09900 \dots sin (10 x) + 0.00990 \dots cos (10 x)) + \frac{c _{1}}{e ^{x}}

Schritte zur Lösung

y^{'} (x) + y = 1.01 cos (10 x)

Solve linear ODE:

y = 1.01 (0.09900 \dots sin (10 x) + 0.00990 \dots cos (10 x)) + \frac{c _{1}}{e ^{x}}

y = 1.01 (0.09900 \dots sin (10 x) + 0.00990 \dots cos (10 x)) + \frac{c _{1}}{e ^{x}}

\int tan (7 x) (sec (7 x))^{2} d x

x \to 0 lim (\frac{3 x - 2}{9 x + 7})

\int_{0}^{x} e^{x^{2}} d x

\int - 4 t e^{- 4 t} d t

\int 5 tan (x) d x