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Popular >

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

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Graph

Popular Examples

5y(dy)/(dx)=9x^2

5 y \frac{d y}{d x} = 9 x^{2}

(dy)/(dx)y=3x+7

\frac{d y}{d x} y = 3 x + 7

(x^2-20x+51)(dy)/(dx)=y

(x^{2} - 20 x + 51) \frac{d y}{d x} = y

(dy)/(dx)=((e^y*sin^2(x)))/(y*sec(x))

\frac{d y}{d x} = \frac{( e ^{y} \cdot sin ^{2} ( x ) )}{y \cdot sec ( x )}

7(dy)/(dx)+x^2y=0

7 \frac{d y}{d x} + x^{2} y = 0

Frequently Asked Questions (FAQ)

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