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Popular >

(x-y)(dx-dy)=0

Solution

(x - y) (d x - d y) = 0

Solution

y = x + c_{1}

Solution steps

(x - y) (d x - d y) = 0

Let

y

be the dependent variable. Divide by

d x

:

(x - y) (1 - \frac{d y}{d x}) = 0

Substitute

\frac{d y}{d x}

with

y^{'} (x)

(x - y) (1 - y^{^{'}} (x)) = 0

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

limit as x approaches-3-of x

x \to - 3 - lim (x)

inverse oflaplace (5s)/((s^2+4)(s+7))inverse laplace

\frac{5 s}{( s ^{2} + 4 ) ( s + 7 )}

derivative of sin(8-9x)

\frac{d}{d x} (sin (8 - 9 x))

derivative of y= 4/(7x^7)derivative of

y = \frac{4}{7 x ^{7}}

(dv)/(dt)=9.8-v/5

\frac{d v}{d t} = 9.8 - \frac{v}{5}

Frequently Asked Questions (FAQ)

What is the solution for (x-y)(dx-dy)=0 ?
The solution for (x-y)(dx-dy)=0 is y=x+c_{1}