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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

9y^{''}+36y^'+100y=0,y(1)=4,y^'(1)=9

9 y^{^{''}} + 36 y^{^{'}} + 100 y = 0, y (1) = 4, y^{^{'}} (1) = 9

y^{''}=8y^'-15y

y^{^{''}} = 8 y^{^{'}} - 15 y

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

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

x^{''}+9x=0,x(0)=3,x^'(0)=4

x^{^{''}} + 9 x = 0, x (0) = 3, x^{^{'}} (0) = 4

y^{''}-7y^'+2y=0

y^{^{''}} - 7 y^{^{'}} + 2 y = 0