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Beliebt Rechnen >

y^{''}+y=2,+ty(0)=1,y(0)=1

Lösung

y^{^{''}} + y = 2, + t y (0) = 1, y (0) = 1

Lösung

y = c_{1} cos (t) + c_{2} sin (t) + 2

Schritte zur Lösung

y^{''} (t) + y = 2

Solve linear ODE:

y = c_{1} cos (t) + c_{2} sin (t) + 2

y = c_{1} cos (t) + c_{2} sin (t) + 2

Graph

Beliebte Beispiele

y^{''}+25y=8sec(5x)

y^{^{''}} + 25 y = 8 sec (5 x)

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

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

(d^2y)/(dx^2)+4(dy)/(dx)+8y=8e^{-2x}

\frac{d ^{2} y}{d x ^{2}} + 4 \frac{d y}{d x} + 8 y = 8 e^{- 2 x}

y^{'''}-y^{''}=2cos(x)

y^{^{'''}} - y^{^{''}} = 2 cos (x)

y^{''}-y^'-12y=98(x+2)e^{-3x}

y^{^{''}} - y^{^{'}} - 12 y = 98 (x + 2) e^{- 3 x}