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Beliebt Rechnen >

y^'-((t+1)y)/(t^2)= 1/t+1/(t^2)

Lösung

y^{^{'}} - \frac{( t + 1 ) y}{t ^{2}} = \frac{1}{t} + \frac{1}{t ^{2}}

Lösung

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

Schritte zur Lösung

y^{'} (t) - \frac{( t + 1 ) y}{t ^{2}} = \frac{1}{t} + \frac{1}{t ^{2}}

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

y^'=-(-(x^2)/(3y))

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

(dy)/(dx)=2x^3sqrt(y)

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

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

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

(dy)/(dx)=((x+xy^2))/(4y)

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

(dy)/(dx)=(6x^2+4)/(8y^3+1),y(0)=1

\frac{d y}{d x} = \frac{6 x ^{2} + 4}{8 y ^{3} + 1}, y (0) = 1