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Beliebt Rechnen >

4(d^2y)/(dx^2)-4(dy)/(dx)+y=0

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

41y-8y^'+y^{''}=0,y(0)=-3,y^'(0)=-32

41 y - 8 y^{^{'}} + y^{^{''}} = 0, y (0) = - 3, y^{^{'}} (0) = - 32

(y^{''}+y^')/y =0

\frac{y ^{^{''}} + y ^{^{'}}}{y} = 0

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

y^{''}+25y=0,y(0)=0,y^'(0)=20

y^{^{''}} + 25 y = 0, y (0) = 0, y^{^{'}} (0) = 20

y^{'''}+10y^{''}+12y^'-72y=0

y^{^{'''}} + 10 y^{^{''}} + 12 y^{^{'}} - 72 y = 0