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Beliebt Rechnen >

(x^2-9)y^'+xy=0,y(5)=1

Lösung

(x^{2} - 9) y^{^{'}} + x y = 0, y (5) = 1

Lösung

y = \frac{4}{x ^{2} - 9}

Schritte zur Lösung

(x^{2} - 9) y^{'} (x) + x y = 0

Solve separable ODE:

y = \frac{4}{x ^{2} - 9}

y = \frac{4}{x ^{2} - 9}

Graph

Beliebte Beispiele

y^'=y^2(x+1),y(0)=2

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

(1+x^2)y^'=sin(y)

(1 + x^{2}) y^{^{'}} = sin (y)

(3dy)/(2dx)+(4x+2xy^2)/(2y+x^2y)=0

\frac{3 d y}{2 d x} + \frac{4 x + 2 x y ^{2}}{2 y + x ^{2} y} = 0

y^{^{'}} - y = 3, y (0) = 0

y^'= x/(3-y),y(2)=0

y^{^{'}} = \frac{x}{3 - y}, y (2) = 0