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Beliebt Rechnen >

(dy)/(dx)+(3/x)y=-4x-10

Lösung

\frac{d y}{d x} + (\frac{3}{x}) y = - 4 x - 10

Lösung

y = - \frac{4 x ^{2}}{5} - \frac{5 x}{2} + \frac{c _{1}}{x ^{3}}

Schritte zur Lösung

\frac{d y}{d x} + (\frac{3}{x}) y = - 4 x - 10

Solve linear ODE:

y = - \frac{4 x ^{2}}{5} - \frac{5 x}{2} + \frac{c _{1}}{x ^{3}}

y = - \frac{4 x ^{2}}{5} - \frac{5 x}{2} + \frac{c _{1}}{x ^{3}}

Graph

Beliebte Beispiele

integral of 1/(sqrt(x^2-4))

\int \frac{1}{x ^{2} - 4} d x

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

derivative of a/(1+\frac{b{x+c}})

\frac{d}{d x} (\frac{a}{1 + \frac{b}{x + c}})

integral of 6x^2

\int 6 x^{2} d x

limit as x approaches 0 of x-1/(ln|x|)

x \to 0 lim (x - \frac{1}{ln ∣ x ∣})