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Beliebt Rechnen >

(t^2+4)x^'=2tx

Lösung

(t^{2} + 4) x^{^{'}} = 2 t x

Lösung

x = e^{c_{1}} t^{2} + 4 e^{c_{1}}

Schritte zur Lösung

(t^{2} + 4) x^{'} (t) = 2 t x

Solve separable ODE:

x = e^{c_{1}} t^{2} + 4 e^{c_{1}}

x = e^{c_{1}} t^{2} + 4 e^{c_{1}}

Graph

Beliebte Beispiele

(x^2+4)y^'+8xy=2x

(x^{2} + 4) y^{^{'}} + 8 x y = 2 x

(dy)/(dt)=((50-y))/(10)

\frac{d y}{d t} = \frac{( 50 - y )}{10}

(dy)/(dx)=3xsqrt(y),y\ne 0

\frac{d y}{d x} = 3 x y, y \neq = 0

(x+xy^2)dx+(2y+x^2y)dy=0

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

(x-4)2y-5(x-4)y^'+9y=0

(x - 4) 2 y - 5 (x - 4) y^{^{'}} + 9 y = 0