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Beliebt Rechnen >

(d^2y)/(dx^2)+2(dy)/(dx)+1=0

Lösung

\frac{d ^{2} y}{d x ^{2}} + 2 \frac{d y}{d x} + 1 = 0

Lösung

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

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} + 2 \frac{d y}{d x} + 1 = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}-16y=cos(4t),y(0)=0,y^'(0)=2

y^{^{''}} - 16 y = cos (4 t), y (0) = 0, y^{^{'}} (0) = 2

y^{''}-9y^'+20=0

y^{^{''}} - 9 y^{^{'}} + 20 = 0

y^{''}+5y^'+6y= 1/x ,y(0)=0,y^'(0)=1

y^{^{''}} + 5 y^{^{'}} + 6 y = \frac{1}{x}, y (0) = 0, y^{^{'}} (0) = 1

2y^{''}-6y^'+3y=4sin(3x)+6x

2 y^{^{''}} - 6 y^{^{'}} + 3 y = 4 sin (3 x) + 6 x

y^{'''}-5y^{''}+6y^'=7+7

y^{^{'''}} - 5 y^{^{''}} + 6 y^{^{'}} = 7 + 7