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Beliebt Rechnen >

x^2y^{''}-3xy^'+3y=0,y(1)=5,y^'(1)=3

Lösung

x^{2} y^{^{''}} - 3 x y^{^{'}} + 3 y = 0, y (1) = 5, y^{^{'}} (1) = 3

Lösung

y = - x^{3} + 6 x

Schritte zur Lösung

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

Solve linear ODE:

y = - x^{3} + 6 x

y = - x^{3} + 6 x

Graph

Beliebte Beispiele

x(e^{y/x}-1)y^'=e^{y/x}(y-x)

x (e^{\frac{y}{x}} - 1) y^{^{'}} = e^{\frac{y}{x}} (y - x)

derivative y=ln(x^5)+e^x-ln(e^2)

d er i v a t i v e y = ln (x^{5}) + e^{x} - ln (e^{2})

derivative y=(3x+1)^2

d er i v a t i v e y = (3 x + 1)^{2}

derivative of-y+x+2

\frac{d}{d x} (- y + x + 2)

integral of (sec^2(sqrt(x)))/(2sqrt(x))

\int \frac{sec ^{2} ( x )}{2 x} d x