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Beliebt Rechnen >

(x^2+1)y^'+4x(y-1)=0,y(0)=5

Lösung

(x^{2} + 1) y^{^{'}} + 4 x (y - 1) = 0, y (0) = 5

Lösung

y = \frac{4}{( x ^{2} + 1 ) ^{2}} + 1

Schritte zur Lösung

(x^{2} + 1) y^{'} (x) + 4 x (y - 1) = 0

Solve separable ODE:

y = \frac{4}{( x ^{2} + 1 ) ^{2}} + 1

y = \frac{4}{( x ^{2} + 1 ) ^{2}} + 1

Graph

Beliebte Beispiele

integral of xsqrt(16-25x^2)

\int x 16 - 25 x^{2} d x

integral from 0 to pi/2 of 3cos(x)

\int_{0}^{\frac{π}{2}} 3 cos (x) d x

integral of 1/((4x^2-25)^{3/2)}

\int \frac{1}{( 4 x ^{2} - 25 ) ^{\frac{3}{2}}} d x

integral of sqrt(-4x^2-12x-5)

\int - 4 x^{2} - 12 x - 5 d x

integral of 1/(x^pi)

\int \frac{1}{x ^{π}} d x