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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''''}+10y^{''}+9y=0

y^{^{''''}} + 10 y^{^{''}} + 9 y = 0

limit as t approaches 0 of 3t+3

t \to 0 lim (3 t + 3)

derivative (sqrt(x)-2)/(x-4)

d er i v a t i v e \frac{x - 2}{x - 4}

derivative f(x)=x(1-x)^4

d er i v a t i v e f (x) = x (1 - x)^{4}

limit as Δx approaches 0 of 0/(Δx^2)

Δ x \to 0 lim (\frac{0}{Δ x ^{2}})