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Beliebt Rechnen >

(d^2f)/(dx^2)-f(x)=0

Lösung

\frac{d ^{2} f}{d x ^{2}} - f (x) = 0

Lösung

f (x) = c_{1} e^{x} + c_{2} e^{- x}

Schritte zur Lösung

\frac{d ^{2} f}{d x ^{2}} - f = 0

Solve linear ODE:

f (x) = c_{1} e^{x} + c_{2} e^{- x}

f (x) = c_{1} e^{x} + c_{2} e^{- x}

Graph

Beliebte Beispiele

D^2(D-3)^2(D^2+2D+5)y=0

D^{2} (D - 3)^{2} (D^{2} + 2 D + 5) y = 0

y^{''}-8y^'+80y=0,y(0)=10,y^'(0)=8

y^{^{''}} - 8 y^{^{'}} + 80 y = 0, y (0) = 10, y^{^{'}} (0) = 8

4y^{'''}-3y^{''}-25y^'-6y=0

4 y^{^{'''}} - 3 y^{^{''}} - 25 y^{^{'}} - 6 y = 0

y^{''}+y=0,y(0)=2,y^'(0)=3

y^{^{''}} + y = 0, y (0) = 2, y^{^{'}} (0) = 3

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

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