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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

(x+2)sin(y)+xcos(y)(dy)/(dx)=0

(x + 2) sin (y) + x cos (y) \frac{d y}{d x} = 0

(dy)/(dx)=-600y

\frac{d y}{d x} = - 600 y

f^{^{'}} (x) = 2 f (x)

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

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

y^'=(((x-2)^2))/y ,y(0)=1

y^{^{'}} = \frac{( ( x - 2 ) ^{2} )}{y}, y (0) = 1