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Beliebt Rechnen >

y^'=x^2y^{-7}

Lösung

y^{^{'}} = x^{2} y^{- 7}

Lösung

y = 8 \frac{8 x ^{3}}{3} + c_{1}, y = - 8 \frac{8 x ^{3}}{3} + c_{1}

Schritte zur Lösung

y^{'} (x) = x^{2} y^{- 7}

Solve separable ODE:

y = 8 \frac{8 x ^{3}}{3} + c_{1}, y = - 8 \frac{8 x ^{3}}{3} + c_{1}

y = 8 \frac{8 x ^{3}}{3} + c_{1}, y = - 8 \frac{8 x ^{3}}{3} + c_{1}

Graph

Beliebte Beispiele

x^3dy+x^2ydx+ydx=xdy

x^{3} d y + x^{2} y d x + y d x = x d y

y^'+4y=0,y(0)=5

y^{^{'}} + 4 y = 0, y (0) = 5

y^'-x^2y=ye^{-x}

y^{^{'}} - x^{2} y = y e^{- x}

(dy)/(dx)= 1/8 (y^{1/2})(cos(y^{1/2}))^2

\frac{d y}{d x} = \frac{1}{8} (y^{\frac{1}{2}}) (cos (y^{\frac{1}{2}}))^{2}

(x^2dy-y^2dx)/((x-y)^2)=0

\frac{x ^{2} d y - y ^{2} d x}{( x - y ) ^{2}} = 0