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Beliebt Rechnen >

(dy)/(dt)= t/(t^2y-y)

Lösung

\frac{d y}{d t} = \frac{t}{t ^{2} y - y}

Lösung

y = ln (t^{2} - 1) + c_{1}, y = - ln (t^{2} - 1) + c_{1}

Schritte zur Lösung

\frac{d y}{d t} = \frac{t}{t ^{2} y - y}

Solve separable ODE:

y = ln (t^{2} - 1) + c_{1}, y = - ln (t^{2} - 1) + c_{1}

y = ln (t^{2} - 1) + c_{1}, y = - ln (t^{2} - 1) + c_{1}

Graph

Beliebte Beispiele

3yy^'=4,x^3+7xy=1

3 y y^{^{'}} = 4, x^{3} + 7 x y = 1

y^2e^{2x}dx-4ydy-4ye^{2x}dy=0

y^{2} e^{2 x} d x - 4 y d y - 4 y e^{2 x} d y = 0

y^3-y^'+0.5y=0,y(0)= 1/3

y^{3} - y^{^{'}} + 0.5 y = 0, y (0) = \frac{1}{3}

dv= x/(sqrt(4+x^2))dx

d v = \frac{x}{4 + x ^{2}} d x

x^'=(1-x)(1-cos(pi)x)

x^{^{'}} = (1 - x) (1 - cos (π) x)