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Beliebt Rechnen >

4(dy)/(dx)-3(d^2y)/(dx^2)=0

Lösung

4 \frac{d y}{d x} - 3 \frac{d ^{2} y}{d x ^{2}} = 0

Lösung

y = c_{1} + c_{2} e^{\frac{4 x}{3}}

Schritte zur Lösung

4 \frac{d y}{d x} - 3 \frac{d ^{2} y}{d x ^{2}} = 0

Solve linear ODE:

y = c_{1} + c_{2} e^{\frac{4 x}{3}}

y = c_{1} + c_{2} e^{\frac{4 x}{3}}

Graph

Beliebte Beispiele

y^{'''}+5y^{''}-11y^'-39y=0

y^{^{'''}} + 5 y^{^{''}} - 11 y^{^{'}} - 39 y = 0

4y^{''}+12y^'+9y=0,y(0)=3,y^'(0)=5

4 y^{^{''}} + 12 y^{^{'}} + 9 y = 0, y (0) = 3, y^{^{'}} (0) = 5

y^{''''}+5y^{''}-36y=0

y^{^{''''}} + 5 y^{^{''}} - 36 y = 0

y^{''}+16y=0,y(pi/8)=-2,y^'(pi/8)=16

y^{^{''}} + 16 y = 0, y (\frac{π}{8}) = - 2, y^{^{'}} (\frac{π}{8}) = 16

y^{'''}+2y^{''}-15y^'-36y=0

y^{^{'''}} + 2 y^{^{''}} - 15 y^{^{'}} - 36 y = 0