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Beliebt Rechnen >

(2x)/(a^2)+(2y\frac{dy)/(dx)}{b^2}=0

Lösung

\frac{2 x}{a ^{2}} + \frac{2 y \frac{d y}{d x}}{b ^{2}} = 0

Lösung

y = \frac{b c _{1} a ^{2} - x ^{2}}{a}, y = - \frac{b c _{1} a ^{2} - x ^{2}}{a}

Schritte zur Lösung

\frac{2 x}{a ^{2}} + \frac{2 y \frac{d y}{d x}}{b ^{2}} = 0

Solve separable ODE:

y = \frac{b c _{1} a ^{2} - x ^{2}}{a}, y = - \frac{b c _{1} a ^{2} - x ^{2}}{a}

y = \frac{b c _{1} a ^{2} - x ^{2}}{a}, y = - \frac{b c _{1} a ^{2} - x ^{2}}{a}

Graph

Beliebte Beispiele

(dy)/(dx)=(sin(x))/(3y)

\frac{d y}{d x} = \frac{sin ( x )}{3 y}

x^{^{'}} - 5 x = 0

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

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

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

(dy)/(dx)=-((2x-1))/((3y+7))

\frac{d y}{d x} = - \frac{( 2 x - 1 )}{( 3 y + 7 )}