2x^2y^{''}+5xy^'+y=18x+4

Lösung

2 x^{2} y^{^{''}} + 5 x y^{^{'}} + y = 18 x + 4

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

Schritte zur Lösung

2 x^{2} y^{''} (x) + 5 x y^{'} (x) + y = 18 x + 4

Solve linear ODE:

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

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

y^{^{'}} + y^{2} sin (x) = 0

\frac{d y}{d x} = \frac{2 y}{2 x + 1}

t an g e n t 10 x^{2} + 2 x

\int 8 t^{2} d t

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