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Beliebt Rechnen >

y^{''}+3*y^'=2

Lösung

y^{^{''}} + 3 \cdot y^{^{'}} = 2

Lösung

y = c_{1} + c_{2} e^{- 3 t} + \frac{2 t}{3}

Schritte zur Lösung

y^{''} (t) + 3 \cdot y^{'} (t) = 2

Solve linear ODE:

y = c_{1} + c_{2} e^{- 3 t} + \frac{2 t}{3}

y = c_{1} + c_{2} e^{- 3 t} + \frac{2 t}{3}

Graph

Beliebte Beispiele

y^{''}-y^'=0+2t^2+t-1

y^{^{''}} - y^{^{'}} = 0 + 2 t^{2} + t - 1

y^{''}-y^'+y=25sin(2x)

y^{^{''}} - y^{^{'}} + y = 25 sin (2 x)

y^{''}-2y^'+y=(e^x)/((1-x)^2)

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

x^{^{''}} = - a^{2} x + b

y^{''}-8y^'+16y=2e^{4t}cos(5t)

y^{^{''}} - 8 y^{^{'}} + 16 y = 2 e^{4 t} cos (5 t)