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Beliebt Rechnen >

(1+x^2)(dy)/(dx)-xy=0,y(2)=5

Lösung

(1 + x^{2}) \frac{d y}{d x} - x y = 0, y (2) = 5

Lösung

y = \frac{5 1 + x ^{2}}{e ^{\frac{l n ( 5 )}{2}}}

Schritte zur Lösung

(1 + x^{2}) \frac{d y}{d x} - x y = 0

Solve separable ODE:

y = \frac{5 1 + x ^{2}}{e ^{\frac{l n ( 5 )}{2}}}

y = \frac{5 1 + x ^{2}}{e ^{\frac{l n ( 5 )}{2}}}

Beliebte Beispiele

(dy)/(dx)=2sqrt((1-x^2)(1-y^2))

\frac{d y}{d x} = 2 (1 - x^{2}) (1 - y^{2})

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

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

y^'=4x+xy,y(0)=-2

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

y^'=4x+xy,y(0)=-1

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

(dy)/(dx)y=5x^3

\frac{d y}{d x} y = 5 x^{3}