Advertisements
Advertisements
प्रश्न
Solve: `("d"y)/("d"x) = "ae"^y`
Advertisements
उत्तर
`("d"y)/("d"x) = "ae"^y`
`("d"y)/"e"^y` = adx
⇒ e–y dy = adx
Integrating on both sides
` int "e"^y "d"y = int "ad"x`
`"e"^y/((-1))` = ax + c
– e–y = ax + c
⇒ e–y + ax + c = 0
APPEARS IN
संबंधित प्रश्न
Solve the following differential equation:
`y"d"x + (1 + x^2)tan^-1x "d"y`= 0
Solve the following differential equation:
`sin ("d"y)/("d"x)` = a, y(0) = 1
Solve the following differential equation:
`("d"y)/("d"x) - xsqrt(25 - x^2)` = 0
Solve the following differential equation:
`(x^3 + y^3)"d"y - x^2 y"d"x` = 0
Solve the following differential equation:
`(1 + 3"e"^(y/x))"d"y + 3"e"^(y/x)(1 - y/x)"d"x` = 0, given that y = 0 when x = 1
Choose the correct alternative:
The solution of `("d"y)/("d"x) = 2^(y - x)` is
Solve the following:
`("d"y)/("d"x) + y/x = x"e"^x`
Choose the correct alternative:
The integrating factor of the differential equation `("d"y)/("d"x) + "P"x` = Q is
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:
Which of the following is the homogeneous differential equation?
