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Beliebt Rechnen >

(dy)/(dx)=y(4x^2+6)

Lösung

\frac{d y}{d x} = y (4 x^{2} + 6)

Lösung

y = e^{\frac{4 x ^{3}}{3} + 6 x + c_{1}}

Schritte zur Lösung

\frac{d y}{d x} = y (4 x^{2} + 6)

Solve separable ODE:

y = e^{\frac{4 x ^{3}}{3} + 6 x + c_{1}}

y = e^{\frac{4 x ^{3}}{3} + 6 x + c_{1}}

Graph

Beliebte Beispiele

y^{''}-6y^'+3y=0,y(0)=0,y^'(0)=5

y^{^{''}} - 6 y^{^{'}} + 3 y = 0, y (0) = 0, y^{^{'}} (0) = 5

y^'=((3x^2-e^x))/((2y-5))

y^{^{'}} = \frac{( 3 x ^{2} - e ^{x} )}{( 2 y - 5 )}

limit as h approaches 0 of ((3+h)^2-9)/h

h \to 0 lim (\frac{( 3 + h ) ^{2} - 9}{h})

((dy)/(dt))=2(y^2-y)t

(\frac{d y}{d t}) = 2 (y^{2} - y) t

derivative f(x)= 3/(sqrt(t))

d er i v a t i v e f (x) = \frac{3}{t}