y^'-2y=-3e^t

Lösung

y^{^{'}} - 2 y = - 3 e^{t}

y = 3 e^{t} + c_{1} e^{2 t}

Schritte zur Lösung

y^{'} (t) - 2 y = - 3 e^{t}

Solve linear ODE:

y = 3 e^{t} + c_{1} e^{2 t}

y = 3 e^{t} + c_{1} e^{2 t}

x \to - 3 lim (\frac{8}{x + 3})

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

x \to - \infty lim (- 5 x^{3})

\int \frac{3 x ^{3} + 4 x}{( x ^{2} + 5 ) ^{2}} d x

\int \frac{3 x ^{4} - 2 x + 5}{x + 1} d x