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Beliebt Rechnen >

y^'=2y^2+y

Lösung

y^{^{'}} = 2 y^{2} + y

Lösung

y = \frac{e ^{t + c_{1}}}{1 - 2 e ^{t + c_{1}}}

Schritte zur Lösung

y^{'} (t) = 2 y^{2} + y

Solve separable ODE:

y = \frac{e ^{t + c_{1}}}{1 - 2 e ^{t + c_{1}}}

y = \frac{e ^{t + c_{1}}}{1 - 2 e ^{t + c_{1}}}

Graph

Beliebte Beispiele

(dP)/(dt)=0.7P-0.001P^2

\frac{d P}{d t} = 0.7 P - 0.001 P^{2}

(3x-3y^2x)dx+(5y-5x^2y)dy=0

(3 x - 3 y^{2} x) d x + (5 y - 5 x^{2} y) d y = 0

x^2(dy)/(dx)+3x=-3xy

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

(dy)/(dx)=((xsqrt(4-y^2))/(sqrt(1+x^2)))

\frac{d y}{d x} = (\frac{x 4 - y ^{2}}{1 + x ^{2}})

e^{(x+y)}(dy)/(dx)=x

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