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Beliebt Rechnen >

y^{''}=y^'-2y

Lösung

y^{^{''}} = y^{^{'}} - 2 y

Lösung

y = e^{\frac{t}{2}} (c_{1} cos (\frac{7 t}{2}) + c_{2} sin (\frac{7 t}{2}))

Schritte zur Lösung

y^{''} (t) = y^{'} (t) - 2 y

Solve linear ODE:

y = e^{\frac{t}{2}} (c_{1} cos (\frac{7 t}{2}) + c_{2} sin (\frac{7 t}{2}))

y = e^{\frac{t}{2}} (c_{1} cos (\frac{7 t}{2}) + c_{2} sin (\frac{7 t}{2}))

Graph

Beliebte Beispiele

4y^{''}-y^'-3y=0,y(0)=5,y^'(0)=0

4 y^{^{''}} - y^{^{'}} - 3 y = 0, y (0) = 5, y^{^{'}} (0) = 0

y^{''''}-7y^{'''}+12y^{''}=0

y^{^{''''}} - 7 y^{^{'''}} + 12 y^{^{''}} = 0

y^{''}+6y^{''}+11y^'+6y=0

y^{^{''}} + 6 y^{^{''}} + 11 y^{^{'}} + 6 y = 0

y^{'''}+3y^{''}-54y^'=0

y^{^{'''}} + 3 y^{^{''}} - 54 y^{^{'}} = 0

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

l in e a r \frac{d ^{2} y}{d x ^{2}} + 2 \frac{d y}{d x} + y = 0