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Beliebt Rechnen >

y^{''}+y^'=3e^{x/2}

Lösung

y^{^{''}} + y^{^{'}} = 3 e^{\frac{x}{2}}

Lösung

y = c_{1} + c_{2} e^{- x} + 4 e^{\frac{x}{2}}

Schritte zur Lösung

y^{''} (x) + y^{'} (x) = 3 e^{\frac{x}{2}}

Solve linear ODE:

y = c_{1} + c_{2} e^{- x} + 4 e^{\frac{x}{2}}

y = c_{1} + c_{2} e^{- x} + 4 e^{\frac{x}{2}}

Graph

Beliebte Beispiele

y^{''}-2y^'-3y=3e^{5t}

y^{^{''}} - 2 y^{^{'}} - 3 y = 3 e^{5 t}

(d^2y)/(dx^2)+4(dy)/(dx)-5y=24e^x

\frac{d ^{2} y}{d x ^{2}} + 4 \frac{d y}{d x} - 5 y = 24 e^{x}

(d^2y)/(dx^2)+4(dy)/(dx)+3y=6x^2+19x+5

\frac{d ^{2} y}{d x ^{2}} + 4 \frac{d y}{d x} + 3 y = 6 x^{2} + 19 x + 5

y^{'''}+y^{''}-2y=xe^x+5

y^{^{'''}} + y^{^{''}} - 2 y = x e^{x} + 5

y^{''}+4y^'=sec(2x)

y^{^{''}} + 4 y^{^{'}} = sec (2 x)