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Popular >

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

Solution

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

Solution

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

Solution steps

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

(dy)/(dx)=(3y^2-xy^2)/(x^2y+5x^2)

\frac{d y}{d x} = \frac{3 y ^{2} - x y ^{2}}{x ^{2} y + 5 x ^{2}}

(2xy-3y)dx+(x^2-3x)dy=0

(2 x y - 3 y) d x + (x^{2} - 3 x) d y = 0

sin(x)*y^'=sqrt(x*y)

sin (x) \cdot y^{^{'}} = x \cdot y

(dy)/(dx)+3y=11

\frac{d y}{d x} + 3 y = 11

(dy)/(dx)=(7y^2)/(sec(x))

\frac{d y}{d x} = \frac{7 y ^{2}}{sec ( x )}

Frequently Asked Questions (FAQ)

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