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Beliebt Rechnen >

(d^2y)/(dx^2)-(dy)/(dx)-y=12

Lösung

\frac{d ^{2} y}{d x ^{2}} - \frac{d y}{d x} - y = 12

Lösung

y = c_{1} e^{\frac{( 1 + 5 ) x}{2}} + c_{2} e^{\frac{( 1 - 5 ) x}{2}} - 12

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} - \frac{d y}{d x} - y = 12

Solve linear ODE:

y = c_{1} e^{\frac{( 1 + 5 ) x}{2}} + c_{2} e^{\frac{( 1 - 5 ) x}{2}} - 12

y = c_{1} e^{\frac{( 1 + 5 ) x}{2}} + c_{2} e^{\frac{( 1 - 5 ) x}{2}} - 12

Graph

Beliebte Beispiele

y^{''}+36y=33cos(5t)

y^{^{''}} + 36 y = 33 cos (5 t)

y^{''}+4y=5(e^x+e^{3x})

y^{^{''}} + 4 y = 5 (e^{x} + e^{3 x})

(d^2)/(dx^2)(θ(x))-(a+b)θ(x)=(a*c+b)

\frac{d ^{2}}{d x ^{2}} (θ (x)) - (a + b) θ (x) = (a \cdot c + b)

y^{''}+2y^'+y=e^{2x}+cos(x)

y^{^{''}} + 2 y^{^{'}} + y = e^{2 x} + cos (x)

y^{''}+y-1=0,y(0)=0,y(1)=0

y^{^{''}} + y - 1 = 0, y (0) = 0, y (1) = 0