(dy}{dt}=-\frac{3y)/t-2-t^{-4},y(1)=4

Lösung

\frac{d y}{d t} = - \frac{3 y}{t} - 2 - t^{- 4}, y (1) = 4

y = - \frac{t}{2} - \frac{ln ( t )}{t ^{3}} + \frac{9}{2 t ^{3}}

Schritte zur Lösung

\frac{d y}{d t} = - \frac{3 y}{t} - 2 - t^{- 4}

Solve linear ODE:

y = - \frac{t}{2} - \frac{ln ( t )}{t ^{3}} + \frac{9}{2 t ^{3}}

y = - \frac{t}{2} - \frac{ln ( t )}{t ^{3}} + \frac{9}{2 t ^{3}}

x \to 2 lim (x)

a re a x, x^{3}, 4 x, 0

\int_{0}^{1} \frac{4 x}{e ^{x^{2}}} d x

\frac{\partial}{\partial x} ((x^{2} + y^{2} + z^{2})^{0.5})

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