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Beliebt Rechnen >

y^{''}-a^2*y+b=0

Lösung

y^{^{''}} - a^{2} \cdot y + b = 0

Lösung

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

Schritte zur Lösung

y^{''} (t) - a^{2} \cdot y + b = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+4y^'=2e^{-4x}+3sin(2x)

y^{^{''}} + 4 y^{^{'}} = 2 e^{- 4 x} + 3 sin (2 x)

y^{''}-2y^'-3y=4e^{2x}+2x^3

y^{^{''}} - 2 y^{^{'}} - 3 y = 4 e^{2 x} + 2 x^{3}

(d^2y)/(dx^2)+10(dy)/(dx)+16y=40cos(x)

\frac{d ^{2} y}{d x ^{2}} + 10 \frac{d y}{d x} + 16 y = 40 cos (x)

y^{''}-y^'=4e^{-x}+3e^{2x}

y^{^{''}} - y^{^{'}} = 4 e^{- x} + 3 e^{2 x}

y^{''}+y=4sin(3t)

y^{^{''}} + y = 4 sin (3 t)