(dy)/(dx)+(4/x)y=-4x-5

Lösung

\frac{d y}{d x} + (\frac{4}{x}) y = - 4 x - 5

y = - \frac{2 x ^{2}}{3} - x + \frac{c _{1}}{x ^{4}}

Schritte zur Lösung

\frac{d y}{d x} + (\frac{4}{x}) y = - 4 x - 5

Solve linear ODE:

y = - \frac{2 x ^{2}}{3} - x + \frac{c _{1}}{x ^{4}}

y = - \frac{2 x ^{2}}{3} - x + \frac{c _{1}}{x ^{4}}

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

\frac{\partial}{\partial x} (4 x^{4} y^{5} - 3 x^{2})

\frac{\partial}{\partial x} (x - y^{2} + 3 x y)

\int (\frac{1}{x ^{2} + 9}) d x

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