Advertisements
Advertisements
प्रश्न
Solve: ydx – xdy = 0 dy
Advertisements
उत्तर
ydx – xdy = 0
ydx = xdy
`1/x "d"x = 1/y "d"y`
Integrating on both sides
`int 1/x "d"x = int 1/y "d"y`
log x = log y + log c
log x = log cy
⇒ x = cy
APPEARS IN
संबंधित प्रश्न
Solve the following differential equation:
`y"e"^(x/y) "d"x = (x"e"^(x/y) + y) "d"y`
Solve the following differential equation:
`2xy"d"x + (x^2 + 2y^2)"d"y` = 0
Solve the following differential equation:
`x ("d"y)/("d"x) = y - xcos^2(y/x)`
Solve the following homogeneous differential equation:
`(x - y) ("d"y)/("d"x) = x + 3y`
Solve the following homogeneous differential equation:
An electric manufacturing company makes small household switches. The company estimates the marginal revenue function for these switches to be (x2 + y2) dy = xy dx where x represents the number of units (in thousands). What is the total revenue function?
Solve the following:
`("d"y)/("d"x) - y/x = x`
Solve the following:
`("d"y)/("d"x) + y/x = x"e"^x`
Choose the correct alternative:
If sec2 x is an integrating factor of the differential equation `("d"y)/("d"x) + "P"y` = Q then P =
Choose the correct alternative:
A homogeneous differential equation of the form `("d"x)/("d"y) = f(x/y)` can be solved by making substitution
Solve `("d"y)/("d"x) = xy + x + y + 1`
