Advertisements
Advertisements
प्रश्न
Solve: `("d"y)/("d"x) = "ae"^y`
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:
`("d"y)/("d"x) = tan^2(x + y)`
Solve the following differential equation:
`(x^3 + y^3)"d"y - x^2 y"d"x` = 0
Choose the correct alternative:
The solution of `("d"y)/("d"x) = 2^(y - x)` is
Choose the correct alternative:
If sin x is the integrating factor of the linear differential equation `("d"y)/("d"x) + "P"y = "Q"`, then P is
Solve: `(1 + x^2)/(1 + y) = xy ("d"y)/("d"x)`
Solve the following homogeneous differential equation:
`("d"y)/("d"x) = (3x - 2y)/(2x - 3y)`
Solve the following homogeneous differential equation:
(y2 – 2xy) dx = (x2 – 2xy) dy
Solve the following:
`x ("d"y)/("d"x) + 2y = x^4`
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 `x ("d"y)/(d"x) + 2y = x^4`
