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Beliebt Rechnen >

(dy)/(dx)= y/(x+1)+4x^2+4x

Lösung

\frac{d y}{d x} = \frac{y}{x + 1} + 4 x^{2} + 4 x

Lösung

y = 2 x^{2} (x + 1) - 2 (x + 1) + c_{1} (x + 1)

Schritte zur Lösung

\frac{d y}{d x} = \frac{y}{x + 1} + 4 x^{2} + 4 x

Solve linear ODE:

y = 2 x^{2} (x + 1) - 2 (x + 1) + c_{1} (x + 1)

y = 2 x^{2} (x + 1) - 2 (x + 1) + c_{1} (x + 1)

Graph

Beliebte Beispiele

integral from 4/3 to 4 of 1/(1-x^2)

\int_{\frac{4}{3}}^{4} \frac{1}{1 - x ^{2}} d x

integral of (x^3+1)^2(3x)

\int (x^{3} + 1)^{2} (3 x) d x

tangent y=(sqrt(x))/(x+9),(1,0.1)

t an g e n t y = \frac{x}{x + 9}, (1, 0.1)

tangent-2x^{2/3}-4,\at x=8

t an g e n t - 2 x^{\frac{2}{3}} - 4, at x = 8

derivative (2x^2-4)^3

d er i v a t i v e (2 x^{2} - 4)^{3}