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Beliebt Rechnen >

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

Lösung

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

Lösung

y = \frac{3 x}{5} - \frac{3}{5 x ^{4}}

Schritte zur Lösung

x^{2} y^{''} (x) + 4 x y^{'} (x) - 4 y = 0

Solve linear ODE:

y = \frac{3 x}{5} - \frac{3}{5 x ^{4}}

y = \frac{3 x}{5} - \frac{3}{5 x ^{4}}

Graph

Beliebte Beispiele

integral of (225)/(x^3-15x^2)

\int \frac{225}{x ^{3} - 15 x ^{2}} d x

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\int \frac{x ^{2} + 17}{x} d x

(\partial)/(\partial x)((5x+2y)(e^y))

\frac{\partial}{\partial x} ((5 x + 2 y) (e^{y}))

tangent 2x^2+2x

t an g e n t 2 x^{2} + 2 x

integral of e^{6x}sin(3x)

\int e^{6 x} sin (3 x) d x