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Beliebt Rechnen >

4y^{''}-4y^'-3y=0,y(0)=1,y^'(0)=5

Lösung

4 y^{^{''}} - 4 y^{^{'}} - 3 y = 0, y (0) = 1, y^{^{'}} (0) = 5

Lösung

y = (1 + \frac{7}{4}) e^{\frac{3 t}{2}} - \frac{7}{4} e^{- \frac{t}{2}}

Schritte zur Lösung

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

Solve linear ODE:

y = (1 + \frac{7}{4}) e^{\frac{3 t}{2}} - \frac{7}{4} e^{- \frac{t}{2}}

y = (1 + \frac{7}{4}) e^{\frac{3 t}{2}} - \frac{7}{4} e^{- \frac{t}{2}}

Graph

Beliebte Beispiele

limit as x approaches 0+of (cot(x))^{sin(x)}

x \to 0 + lim ((cot (x))^{s i n (x)})

x^2(dy)/(dx)-2xy=3y^4

x^{2} \frac{d y}{d x} - 2 x y = 3 y^{4}

integral of sqrt(5/x)

\int \frac{5}{x} d x

derivative of e^{(-x^{1/2}+1/5 x^{-3/5}})

\frac{d}{d x} (e^{(- x^{\frac{1}{2}} + \frac{1}{5} x^{- \frac{3}{5}})})

integral of 1/((x^2+100)^2)

\int \frac{1}{( x ^{2} + 100 ) ^{2}} d x