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Beliebt Rechnen >

(t^2-16t+15)(dy)/(dt)=y

Lösung

(t^{2} - 16 t + 15) \frac{d y}{d t} = y

Lösung

y = \frac{c _{1} 14 t - 15}{14 t - 1}

Schritte zur Lösung

(t^{2} - 16 t + 15) \frac{d y}{d t} = y

Solve separable ODE:

y = \frac{c _{1} 14 t - 15}{14 t - 1}

y = \frac{c _{1} 14 t - 15}{14 t - 1}

Graph

Beliebte Beispiele

x^2(xdy+ydx)=1xdy-1ydx

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

y^'=xy^3(1+x^2)^{1/2}

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

(dy}{dx}=\frac{yln(y))/x

\frac{d y}{d x} = \frac{y ln ( y )}{x}

xy^3dx+e^{-x}dy=0

x y^{3} d x + e^{- x} d y = 0

(dy)/(dx)=x^2sqrt(y),y>0

\frac{d y}{d x} = x^{2} y, y > 0