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Beliebt Rechnen >

x^3y^'+3x^2y= 1/x ,y(1)=3

Lösung

x^{3} y^{^{'}} + 3 x^{2} y = \frac{1}{x}, y (1) = 3

Lösung

y = \frac{ln ( x )}{x ^{3}} + \frac{3}{x ^{3}}

Schritte zur Lösung

x^{3} y^{'} (x) + 3 x^{2} y = \frac{1}{x}

Solve linear ODE:

y = \frac{ln ( x )}{x ^{3}} + \frac{3}{x ^{3}}

y = \frac{ln ( x )}{x ^{3}} + \frac{3}{x ^{3}}

Graph

Beliebte Beispiele

(\partial)/(\partial x)(xsin(y)sin(z))

\frac{\partial}{\partial x} (x sin (y) sin (z))

integral of (x^2+1)^{1/2}x

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integral from 0 to pi/2 of 7cos^2(x)

\int_{0}^{\frac{π}{2}} 7 cos^{2} (x) d x

fläche y=x^2,y=-x^2+18x

a re a y = x^{2}, y = - x^{2} + 18 x