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Beliebt Rechnen >

4y^{''}-8y^'+3y=0,y(0)=1,y^'(0)=2

Lösung

4 y^{^{''}} - 8 y^{^{'}} + 3 y = 0, y (0) = 1, y^{^{'}} (0) = 2

Lösung

y = (1 + \frac{1}{2}) e^{\frac{3 t}{2}} - \frac{1}{2} e^{\frac{t}{2}}

Schritte zur Lösung

4 y^{''} (t) - 8 y^{'} (t) + 3 y = 0

Solve linear ODE:

y = (1 + \frac{1}{2}) e^{\frac{3 t}{2}} - \frac{1}{2} e^{\frac{t}{2}}

y = (1 + \frac{1}{2}) e^{\frac{3 t}{2}} - \frac{1}{2} e^{\frac{t}{2}}

Graph

Beliebte Beispiele

y^{^{''''}} + 16 y = 0

y^{''}+2y^'+5y=0,y(0)=3,y^'(0)=5

y^{^{''}} + 2 y^{^{'}} + 5 y = 0, y (0) = 3, y^{^{'}} (0) = 5

y^{^{''}} + n^{2} y = 0

linear (d^2y)/(dx^2)+5(dy)/(dx)+10y=0

l in e a r \frac{d ^{2} y}{d x ^{2}} + 5 \frac{d y}{d x} + 10 y = 0

θ^{''}(t)+(4k)/3 θ(t)=0

θ^{^{''}} (t) + \frac{4 k}{3} θ (t) = 0