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Beliebt Rechnen >

(d^2u)/(dy^2)-4u+6=0

Lösung

\frac{d ^{2} u}{d y ^{2}} - 4 u + 6 = 0

Lösung

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

Schritte zur Lösung

\frac{d ^{2} u}{d y ^{2}} - 4 u + 6 = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}-16y=32+45e^x,y(0)=0

y^{^{''}} - 16 y = 32 + 45 e^{x}, y (0) = 0

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

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

x^{''}+x^'+x=1,x^'(0)=0

x^{^{''}} + x^{^{'}} + x = 1, x^{^{'}} (0) = 0

y^{''}-8y^'+4y=8e^{2x}

y^{^{''}} - 8 y^{^{'}} + 4 y = 8 e^{2 x}

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

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