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Popular >

(dy)/(dx)=6xy-3y

Solution

\frac{d y}{d x} = 6 x y - 3 y

Solution

y = e^{3 (x^{2} - x) + c_{1}}

Solution steps

\frac{d y}{d x} = 6 x y - 3 y

Solve separable ODE:

y = e^{3 (x^{2} - x) + c_{1}}

y = e^{3 (x^{2} - x) + c_{1}}

Graph

Popular Examples

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

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

(4y^'+y^2+4*1)/(x^2)=0

\frac{4 y ^{^{'}} + y ^{2} + 4 \cdot 1}{x ^{2}} = 0

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

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

y^'=7x^2y^{-1/2},y(1)=1

y^{^{'}} = 7 x^{2} y^{- \frac{1}{2}}, y (1) = 1

y^{^{'}} = a (b - y) - cy

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=6xy-3y ?
The solution for (dy)/(dx)=6xy-3y is y=e^{3(x^2-x)+c_{1}}