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Beliebt Rechnen >

(x^2+1)(dy)/(dx)+xy=3x,y(0)=4

Lösung

(x^{2} + 1) \frac{d y}{d x} + x y = 3 x, y (0) = 4

Lösung

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

y(dy)/(dx)=6(y^2+7)^7

y \frac{d y}{d x} = 6 (y^{2} + 7)^{7}

1/(sqrt(y))y^'=sqrt(b)

\frac{1}{y} y^{^{'}} = b

y(dy)/(dx)=2x(y+1)

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

((t^2))/x dt=dx

\frac{( t ^{2} )}{x} d t = d x

(dy)/(dx)y=(4sin(x))/(9-8sin(x))

\frac{d y}{d x} y = \frac{4 sin ( x )}{9 - 8 sin ( x )}