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Beliebt Rechnen >

(dy)/(dx)=7-y^2

Lösung

\frac{d y}{d x} = 7 - y^{2}

Lösung

y = - \frac{7 e ^{27 x + 27 c_{1}}}{1 - e ^{27 (x + c_{1})}} - \frac{7}{1 - e ^{27 (x + c_{1})}}

Schritte zur Lösung

\frac{d y}{d x} = 7 - y^{2}

Solve separable ODE:

y = - \frac{7 e ^{27 x + 27 c_{1}}}{1 - e ^{27 (x + c_{1})}} - \frac{7}{1 - e ^{27 (x + c_{1})}}

y = - \frac{7 e ^{27 x + 27 c_{1}}}{1 - e ^{27 (x + c_{1})}} - \frac{7}{1 - e ^{27 (x + c_{1})}}

Graph

Beliebte Beispiele

y*y^'-2x=sin(x),y(0)=6

y \cdot y^{^{'}} - 2 x = sin (x), y (0) = 6

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

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

(t^2-16t+15)(dy)/(dt)=y

(t^{2} - 16 t + 15) \frac{d y}{d t} = y

x^2(xdy+ydx)=1xdy-1ydx

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

y^'=xy^3(1+x^2)^{1/2}

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