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Beliebt Rechnen >

x^2y^{''}+xy^'+9y=10x

Lösung

x^{2} y^{^{''}} + x y^{^{'}} + 9 y = 10 x

Lösung

y = c_{1} cos (3 ln (x)) + c_{2} sin (3 ln (x)) + x

Schritte zur Lösung

x^{2} y^{''} (x) + x y^{'} (x) + 9 y = 10 x

Solve linear ODE:

y = c_{1} cos (3 ln (x)) + c_{2} sin (3 ln (x)) + x

y = c_{1} cos (3 ln (x)) + c_{2} sin (3 ln (x)) + x

Graph

Beliebte Beispiele

steigung y=x^3+2

s l o p e y = x^{3} + 2

derivative sqrt(sin(x))

d er i v a t i v e sin (x)

implicit (dy)/(dx),e^{x/y}=x-y

im pl i c i t \frac{d y}{d x}, e^{\frac{x}{y}} = x - y

\int 9 y d y

integral of 2/3 x^{-1/3}

\int \frac{2}{3} x^{- \frac{1}{3}} d x