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Beliebt Rechnen >

y^'y^2=(t-2)^2

Lösung

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

Lösung

y = 3 t^{3} - 6 t^{2} + 12 t + c_{1}

Schritte zur Lösung

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

Solve separable ODE:

y = 3 t^{3} - 6 t^{2} + 12 t + c_{1}

y = 3 t^{3} - 6 t^{2} + 12 t + c_{1}

Graph

Beliebte Beispiele

y^{^{'}} - \frac{1}{3} a^{2} y = 0

(dy)/(dx)=10y-xy+3y(sqrt(x^2+49))

\frac{d y}{d x} = 10 y - x y + 3 y (x^{2} + 49)

(2xy^2+y^2+3+6x)-(4x^2y+4xy)y^'=0

(2 x y^{2} + y^{2} + 3 + 6 x) - (4 x^{2} y + 4 x y) y^{^{'}} = 0

y^'= x/(y^2),y(1)=1

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

(dy)/(dx)-4(dy)/(dx)+4y=0

\frac{d y}{d x} - 4 \frac{d y}{d x} + 4 y = 0