x^2y^{''}-6y=x^4

Lösung

x^{2} y^{^{''}} - 6 y = x^{4}

y = c_{1} x^{3} + \frac{c _{2}}{x ^{2}} + \frac{x ^{4}}{6}

Schritte zur Lösung

x^{2} y^{''} (x) - 6 y = x^{4}

Solve linear ODE:

y = c_{1} x^{3} + \frac{c _{2}}{x ^{2}} + \frac{x ^{4}}{6}

y = c_{1} x^{3} + \frac{c _{2}}{x ^{2}} + \frac{x ^{4}}{6}

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

\frac{d}{d t} (\frac{t - t}{t ^{\frac{1}{9}}})

\frac{\partial}{\partial y} (2 cos (y))

\int 2 e^{θ} d θ

d er i v a t i v e (\frac{1}{x ^{2}} - \frac{3}{x ^{4}}) (x + 5 x^{3})