(dy)/(dt)+0.7ty=7t,y(0)=7

Lösung

\frac{d y}{d t} + 0.7 t y = 7 t, y (0) = 7

y = 9.99999 \dots - \frac{2.99999 \dots}{e ^{0.35 t^{2}}}

Schritte zur Lösung

\frac{d y}{d t} + 0.7 t y = 7 t

Solve linear ODE:

y = 9.99999 \dots - \frac{2.99999 \dots}{e ^{0.35 t^{2}}}

y = 9.99999 \dots - \frac{2.99999 \dots}{e ^{0.35 t^{2}}}

y^{^{''}} + 2 y^{^{'}} + 2 y = sin (2 x)

\int \frac{8}{4 - x ^{2}} d x

\int \frac{x ^{2} - 1}{x ^{3} - 3 x + 1} d x

d er i v a t i v e f (x) = e^{- 0.5 x} (4 - x) - 2

n = 1 \sum \infty \frac{5}{4 n ^{2} - 1}