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Beliebt Rechnen >

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

Lösung

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

Lösung

y = e^{t - π} sin (2 t)

Schritte zur Lösung

y^{''} (t) - 2 y^{'} (t) + 5 y = 0

Solve linear ODE:

y = e^{t - π} sin (2 t)

y = e^{t - π} sin (2 t)

Graph

Beliebte Beispiele

tangent f(x)=3x^2,\at x=4

t an g e n t f (x) = 3 x^{2}, at x = 4

derivative of (x+5/(sqrt(x)))

\frac{d}{d x} (\frac{x + 5}{x})

x^2y^{''}+xy^'-y=x^{1/2}

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

limit as x approaches infinity of (4^x+3)/(4^{x+1)}

x \to \infty lim (\frac{4 ^{x} + 3}{4 ^{x + 1}})

derivative f(x)=-2/x

d er i v a t i v e f (x) = - \frac{2}{x}