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Beliebt Rechnen >

(dy)/(dx)=(1+2x)sqrt(y)

Lösung

\frac{d y}{d x} = (1 + 2 \cdot x) \cdot y

Lösung

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

Schritte zur Lösung

\frac{d y}{d x} = (1 + 2 \cdot x) \cdot y

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

sqrt(1+y^2)dx+xyln(x)dy=0

1 + y^{2} d x + x y ln (x) d y = 0

x^{^{'}} = - a x + b

y e^{x} d x + e^{x} d y = 0

y^{^{'}} y^{2} x = y^{3}

2+y^'=6y,y(-2)=8

2 + y^{^{'}} = 6 y, y (- 2) = 8