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Beliebt Rechnen >

linear (d^2y)/(dx^2)+5(dy)/(dx)+10y=0

Lösung

linear

\frac{d ^{2} y}{d x ^{2}} + 5 \frac{d y}{d x} + 10 y = 0

Lösung

y = e^{- \frac{5 x}{2}} (c_{1} cos (\frac{15 x}{2}) + c_{2} sin (\frac{15 x}{2}))

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} + 5 \frac{d y}{d x} + 10 y = 0

Solve linear ODE:

y = e^{- \frac{5 x}{2}} (c_{1} cos (\frac{15 x}{2}) + c_{2} sin (\frac{15 x}{2}))

y = e^{- \frac{5 x}{2}} (c_{1} cos (\frac{15 x}{2}) + c_{2} sin (\frac{15 x}{2}))

Graph

Beliebte Beispiele

θ^{''}(t)+(4k)/3 θ(t)=0

θ^{^{''}} (t) + \frac{4 k}{3} θ (t) = 0

y^{''}+144y=0,y(0)=3,y^'(0)=-48

y^{^{''}} + 144 y = 0, y (0) = 3, y^{^{'}} (0) = - 48

y^{''}+4y^'-12y=0,y(0)=7,y^'(0)=-7

y^{^{''}} + 4 y^{^{'}} - 12 y = 0, y (0) = 7, y^{^{'}} (0) = - 7

y^{''}+3y^'-y=0

y^{^{''}} + 3 y^{^{'}} - y = 0

y^{'''}+2y^{''}=0

y^{^{'''}} + 2 y^{^{''}} = 0