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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{t} t + c_{2} t

Schritte zur Lösung

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

Solve using substitution:

y = c_{1} e^{t} t + c_{2} t

y = c_{1} e^{t} t + c_{2} t

Graph

Beliebte Beispiele

tangent y=4x^2+3x(-3.27)

t an g e n t y = 4 x^{2} + 3 x (- 3.27)

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x \to 2 lim (\frac{( x + 2 )}{x - 2})

d/(dy)(1/3 (y^2+2)^{3/2})

\frac{d}{d y} (\frac{1}{3} (y^{2} + 2)^{\frac{3}{2}})

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\int cos (2) d x

integral of cos^4(x)sin^2(x)

\int cos^{4} (x) sin^{2} (x) d x