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Beliebt Rechnen >

(dy)/(dx)=xsqrt(y),y(-1)= 25/16

Lösung

\frac{d y}{d x} = x y, y (- 1) = \frac{25}{16}

Lösung

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

(1+e^x)e^yy^'=y^{-1}

(1 + e^{x}) e^{y} y^{^{'}} = y^{- 1}

(2y+x^2y)dy+(3x+xy^2)dx=0

(2 y + x^{2} y) d y + (3 x + x y^{2}) d x = 0

y^{^{'}} - y^{2} - y = 0

y^{^{'}} = - x y + \frac{4 x}{y}

y^'-((2x)/(1+x^2))y=0,y(0)=3

y^{^{'}} - (\frac{2 x}{1 + x ^{2}}) y = 0, y (0) = 3