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Beliebt Rechnen >

(dy)/(dx)=x*sqrt(y)

Lösung

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

Lösung

y = \frac{x ^{4}}{16} + \frac{c _{1} x ^{2}}{4} + \frac{c _{1}^{2}}{4}

Schritte zur Lösung

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

Solve separable ODE:

y = \frac{x ^{4}}{16} + \frac{c _{1} x ^{2}}{4} + \frac{c _{1}^{2}}{4}

y = \frac{x ^{4}}{16} + \frac{c _{1} x ^{2}}{4} + \frac{c _{1}^{2}}{4}

Graph

Beliebte Beispiele

x^2y^'-cos(2y)=1

x^{2} y^{^{'}} - cos (2 y) = 1

(1+x^2)(dy)/(dx)+2xy=x

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

y^'-6y=0,y(-1)=10

y^{^{'}} - 6 y = 0, y (- 1) = 10

(4x^2y^2-x^2+4xy^2-x)dx+(2xy+x+2y+1)dy=0

(4 x^{2} y^{2} - x^{2} + 4 x y^{2} - x) d x + (2 x y + x + 2 y + 1) d y = 0

(dy)/(dx)=(3y)/(x^6)

\frac{d y}{d x} = \frac{3 y}{x ^{6}}