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

Lösung

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

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

x \to \infty lim (2 + x)

\int_{0}^{1} \frac{1}{x ln ( x )} d x

d er i v a t i v e y = e^{3 e^{x}}

f (x) = arctan (cos (x))

\frac{d}{d x} (4 x^{6} - 3 x^{5} - 10 x^{2} + 5 x + 16)