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Popular >

(dy)/(dx)=3x+xy

Solution

\frac{d y}{d x} = 3 x + x y

Solution

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

Solution steps

\frac{d y}{d x} = 3 x + x y

Solve separable ODE:

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

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

Popular Examples

9y^{''}+12y^'+4y=0

9 y^{^{''}} + 12 y^{^{'}} + 4 y = 0

integral from 0 to 1 of (3x+1)^4

\int_{0}^{1} (3 x + 1)^{4} d x

tangent of f(x)= 1/(1+x^2),\at x=2 tangent of

f (x) = \frac{1}{1 + x ^{2}}, at x = 2

(dx)/(dt)=x^2+1/49 ,x(0)=1

\frac{d x}{d t} = x^{2} + \frac{1}{49}, x (0) = 1

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

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

Frequently Asked Questions (FAQ)

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