y^'=5y-xy

Lösung

y^{^{'}} = 5 y - x y

y = e^{5 x - \frac{x ^{2}}{2} + c_{1}}

Schritte zur Lösung

y^{'} (x) = 5 y - x y

Solve separable ODE:

y = e^{5 x - \frac{x ^{2}}{2} + c_{1}}

y = e^{5 x - \frac{x ^{2}}{2} + c_{1}}

y^{^{''}} + 8 y^{^{'}} + 25 y = - 208 \cdot sin (3 x)

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

d er i v a t i v e f (x) = \frac{3}{5} x^{15}

\int_{0}^{2} \frac{y}{25 - y ^{2}} d y

x \to - \infty lim (\frac{x ^{6} + cos ( x ^{10000} )}{x + 5})