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Beliebt Rechnen >

2x^2y^{''}+6xy^'+2y=0,y(1)=2,y^'(1)=-1

Lösung

2 x^{2} y^{^{''}} + 6 x y^{^{'}} + 2 y = 0, y (1) = 2, y^{^{'}} (1) = - 1

Lösung

y = \frac{2}{x} + \frac{ln ( x )}{x}

Schritte zur Lösung

2 x^{2} y^{''} (x) + 6 x y^{'} (x) + 2 y = 0

Solve linear ODE:

y = \frac{2}{x} + \frac{ln ( x )}{x}

y = \frac{2}{x} + \frac{ln ( x )}{x}

Graph

Beliebte Beispiele

y^{''}-6y^'+9y=2te^{3t}

y^{^{''}} - 6 y^{^{'}} + 9 y = 2 t e^{3 t}

limit as x approaches 2-of 4/((x-2)^5)

x \to 2 - lim (\frac{4}{( x - 2 ) ^{5}})

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

inverselaplace 1/(s-1)

in v erse l a pl a ce \frac{1}{s - 1}

sum from n=4 to infinity of 1/((n)(n+1))

n = 4 \sum \infty \frac{1}{( n ) ( n + 1 )}