(dy)/(dx)+y/x =x^3

Lösung

\frac{d y}{d x} + \frac{y}{x} = x^{3}

y = \frac{x ^{4}}{5} + \frac{c _{1}}{x}

Schritte zur Lösung

\frac{d y}{d x} + \frac{y}{x} = x^{3}

Solve linear ODE:

y = \frac{x ^{4}}{5} + \frac{c _{1}}{x}

y = \frac{x ^{4}}{5} + \frac{c _{1}}{x}

\frac{d}{d x} (\frac{e ^{a x^{2} + b x + c}}{x})

e \to 1 lim (5 ln^{2} (e))

x \to + 0 lim ((1 - \frac{1}{x}) x)

\frac{\partial}{\partial y} (x + y + 1)

\int \frac{1}{x ^{2022}} d x