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Popular >

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

Solution

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

Solution

y = - x + c_{1}

Solution steps

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

Substitute

\frac{d y}{d x}

with

y^{'} (x)

x + y y^{^{'}} (x) = x - y

Isolate

y^{'} (x) : y^{'} (x) = - 1

If

f^{^{'}} (x) = g (x)

then

f (x) = \int g (x) d x

y = \int - 1 d x

\int - 1 d x = - x + c_{1}

y = - x + c_{1}

Popular Examples

tangent of f(x)=x^3-x,(1,0)tangent of

f (x) = x^{3} - x, (1, 0)

sum from n=0 to infinity of 1/(n(n+8))

n = 0 \sum \infty \frac{1}{n ( n + 8 )}

inverse oflaplace 5/(s*(2*s+1))inverse laplace

\frac{5}{s \cdot ( 2 \cdot s + 1 )}

3y^'-6y=12,y(0)=4

3 y^{^{'}} - 6 y = 12, y (0) = 4

integral from-3 to 0 of x^2-4x+7

\int_{- 3}^{0} x^{2} - 4 x + 7 d x

Frequently Asked Questions (FAQ)

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