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Beliebt Rechnen >

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

Lösung

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

Lösung

y = e^{x^{2} + c_{1}} - 1, y = - e^{x^{2} + c_{1}} - 1

Schritte zur Lösung

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

Solve separable ODE:

y = e^{x^{2} + c_{1}} - 1, y = - e^{x^{2} + c_{1}} - 1

y = e^{x^{2} + c_{1}} - 1, y = - e^{x^{2} + c_{1}} - 1

Graph

Beliebte Beispiele

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

(dy)/(dx)=-(0.2)/(cos(y)),y(0)= pi/4

\frac{d y}{d x} = - \frac{0.2}{cos ( y )}, y (0) = \frac{π}{4}

y^{^{'}} + 6 y^{3} = 0

(dy)/(dx)=3x^2(y^2+1),y(0)=1

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

(dv)/(dt)=0.075v-9000

\frac{d v}{d t} = 0.075 v - 9000