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Popular >

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

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Popular Examples

y^2(dy)/(dx)=3x^2(y^3-2)

y^{2} \frac{d y}{d x} = 3 x^{2} (y^{3} - 2)

(dy)/(dx)=sin(3x)y^2

\frac{d y}{d x} = sin (3 x) y^{2}

(dy)/(dx)=(1+y)/(1+x)

\frac{d y}{d x} = \frac{1 + y}{1 + x}

(dy)/(dx)y=x^{sin(x)}

\frac{d y}{d x} y = x^{s i n (x)}

dx+xydy=y^2dx+ydy

d x + x y d y = y^{2} d x + y d y

Frequently Asked Questions (FAQ)

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