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Beliebt Rechnen >

2(d^2y)/(dx^2)+(dy)/(dx)-105y=0

Lösung

2 \frac{d ^{2} y}{d x ^{2}} + \frac{d y}{d x} - 105 y = 0

Lösung

y = c_{1} e^{7 x} + c_{2} e^{- \frac{15 x}{2}}

Schritte zur Lösung

2 \frac{d ^{2} y}{d x ^{2}} + \frac{d y}{d x} - 105 y = 0

Solve linear ODE:

y = c_{1} e^{7 x} + c_{2} e^{- \frac{15 x}{2}}

y = c_{1} e^{7 x} + c_{2} e^{- \frac{15 x}{2}}

Graph

Beliebte Beispiele

6y^{''''}+77y^{''}+255y=0

6 y^{^{''''}} + 77 y^{^{''}} + 255 y = 0

y^{''}-0.28y^'-0.006y=0

y^{^{''}} - 0.28 y^{^{'}} - 0.006 y = 0

2*y^{''}+4*y^'+8y=0,y(0)=5,y^'(0)=0

2 \cdot y^{^{''}} + 4 \cdot y^{^{'}} + 8 y = 0, y (0) = 5, y^{^{'}} (0) = 0

4y^{''}+(16)/(0.25)y=0

4 y^{^{''}} + \frac{16}{0.25} y = 0

5(d^2y)/(dx^2)+(dy)/(dx)-6y=0

5 \frac{d ^{2} y}{d x ^{2}} + \frac{d y}{d x} - 6 y = 0