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Beliebt Rechnen >

y^'=(3x^2+4x+2)/(2(y-1))

Lösung

y^{^{'}} = \frac{3 x ^{2} + 4 x + 2}{2 ( y - 1 )}

Lösung

y = 1 + x^{3} + 2 x^{2} + 2 x + c_{1} + 1, y = 1 - x^{3} + 2 x^{2} + 2 x + c_{1} + 1

Schritte zur Lösung

y^{'} (x) = \frac{3 x ^{2} + 4 x + 2}{2 ( y - 1 )}

Solve separable ODE:

y = 1 + x^{3} + 2 x^{2} + 2 x + c_{1} + 1, y = 1 - x^{3} + 2 x^{2} + 2 x + c_{1} + 1

y = 1 + x^{3} + 2 x^{2} + 2 x + c_{1} + 1, y = 1 - x^{3} + 2 x^{2} + 2 x + c_{1} + 1

Graph

Beliebte Beispiele

\frac{d y}{d x} + 2 y = 6

y^'(x)=(1+3x^2)/(3y^2-6y),y(0)=1

y^{^{'}} (x) = \frac{1 + 3 x ^{2}}{3 y ^{2} - 6 y}, y (0) = 1

(x^2y+4xy+2y)dx+(x^2+x)dy=0

(x^{2} y + 4 x y + 2 y) d x + (x^{2} + x) d y = 0

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

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

x y^{^{'}} = y^{2} + 3