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Beliebt Rechnen >

e^{x^3-y^2}+y/(x^2)y^'=0

Lösung

e^{x^{3} - y^{2}} + \frac{y}{x ^{2}} y^{^{'}} = 0

Lösung

y = ln (- \frac{2}{3} e^{x^{3}} + c_{1}), y = - ln (- \frac{2}{3} e^{x^{3}} + c_{1})

Schritte zur Lösung

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

Solve separable ODE:

y = ln (- \frac{2}{3} e^{x^{3}} + c_{1}), y = - ln (- \frac{2}{3} e^{x^{3}} + c_{1})

y = ln (- \frac{2}{3} e^{x^{3}} + c_{1}), y = - ln (- \frac{2}{3} e^{x^{3}} + c_{1})

Graph

Beliebte Beispiele

sec(y)dx+(csc^2(x))dy=0

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

y(dx)/(dy)=cos^2(x)

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

14y^6(dy)/(dx)=8x^7

14 y^{6} \frac{d y}{d x} = 8 x^{7}

7sqrt(xy)(dy)/(dx)=4,y>0,x>0

7 x y \frac{d y}{d x} = 4, y > 0, x > 0

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

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