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Beliebt Rechnen >

(dy)/(dt)+(3t)/(t^2+1)y=(6t)/(t^2+1)

Lösung

\frac{d y}{d t} + \frac{3 t}{t ^{2} + 1} y = \frac{6 t}{t ^{2} + 1}

Lösung

y = \frac{c _{1}}{( t ^{2} + 1 ) ^{\frac{3}{2}}} + 2

Schritte zur Lösung

\frac{d y}{d t} + \frac{3 t}{t ^{2} + 1} y = \frac{6 t}{t ^{2} + 1}

Solve separable ODE:

y = \frac{c _{1}}{( t ^{2} + 1 ) ^{\frac{3}{2}}} + 2

y = \frac{c _{1}}{( t ^{2} + 1 ) ^{\frac{3}{2}}} + 2

Graph

Beliebte Beispiele

fläche (x-1)^3,x-1,0,1

a re a (x - 1)^{3}, x - 1, 0, 1

limit as x approaches 0 of (sec(x))/x

x \to 0 lim (\frac{sec ( x )}{x})

fläche x^2+2,2x+5

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x^2y^{''}+2xy^'-12y=0

x^{2} y^{^{''}} + 2 x y^{^{'}} - 12 y = 0

(\partial)/(\partial x)(42x^5y^6-30x^4y^5)

\frac{\partial}{\partial x} (42 x^{5} y^{6} - 30 x^{4} y^{5})