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Beliebt Rechnen >

(t^2-22t+85)(dy)/(dt)=y

Lösung

(t^{2} - 22 t + 85) \frac{d y}{d t} = y

Lösung

y = \frac{c _{1} 12 t - 17}{12 t - 5}

Schritte zur Lösung

(t^{2} - 22 t + 85) \frac{d y}{d t} = y

Solve separable ODE:

y = \frac{c _{1} 12 t - 17}{12 t - 5}

y = \frac{c _{1} 12 t - 17}{12 t - 5}

Graph

Beliebte Beispiele

((dy)/(dx))=(-1/((x^2y^2))),y=2,x=1

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

y^{^{'}} + \frac{1}{3} y = 0

y^'=sqrt(3)y,y(0)=14

y^{^{'}} = 3 y, y (0) = 14

(ln(y))^6(dy)/(dx)=x^6y

(ln (y))^{6} \frac{d y}{d x} = x^{6} y

3t^2(dx)/(dt)-9x+9=0

3 t^{2} \frac{d x}{d t} - 9 x + 9 = 0