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Beliebt Rechnen >

y^'+1/(sqrt(1-x^2))y= 3/(sqrt(1-x^2))

Lösung

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

Lösung

y = - e^{- a r c s i n (x) - c_{1}} + 3

Schritte zur Lösung

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

Solve separable ODE:

y = - e^{- a r c s i n (x) - c_{1}} + 3

y = - e^{- a r c s i n (x) - c_{1}} + 3

Graph

Beliebte Beispiele

y^{^{'}} - 3 y = - 4

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

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

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

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

(2 t - 1) y^{^{'}} - 4 y = 0

f(x)f^'(x)=xx^3-xx^2-6xx

f (x) f^{^{'}} (x) = x x^{3} - x x^{2} - 6 xx