(dy)/(dt)=0.5-t+2y

Lösung

\frac{d y}{d t} = 0.5 - t + 2 y

y = \frac{t}{2} + c_{1} e^{2 t}

Schritte zur Lösung

\frac{d y}{d t} = 0.5 - t + 2 y

Solve linear ODE:

y = \frac{t}{2} + c_{1} e^{2 t}

y = \frac{t}{2} + c_{1} e^{2 t}

x \to 0 lim ((\frac{e}{x})^{x})

y \frac{d y}{d x} = 2 x e^{y^{2}}

d er i v a t i v e (3 x^{6} + 4 x^{3})^{4}

\int_{- \infty}^{1} - e^{x} d x

in v erse l a pl a ce \frac{6 ( s + 1 )}{s ^{2} ( s + 1 )}