Advertisements
Advertisements
प्रश्न
Choose the correct alternative:
The solution of `("d"y)/("d"x) = 2^(y - x)` is
विकल्प
2x + 2y = C
2x – 2y = C
`1/2^x - 1/2^y` = C
x + y = C
Advertisements
उत्तर
`1/2^x - 1/2^y` = C
APPEARS IN
संबंधित प्रश्न
Solve the following differential equation:
`("d"y)/("d"x) = sqrt((1 - y^2)/(1 - x^2)`
Solve the following differential equation:
`("d"y)/("d"x) = "e"^(x + y) - x^3"e"^y`
Solve: `(1 + x^2)/(1 + y) = xy ("d"y)/("d"x)`
Solve: ydx – xdy = 0 dy
Solve: `("d"y)/("d"x) + "e"^x + y"e"^x = 0`
Solve: `("d"y)/("d"x) = y sin 2x`
Solve: `log(("d"y)/("d"x))` = ax + by
Solve the following homogeneous differential equation:
`x ("d"y)/("d"x) - y = sqrt(x^2 + y^2)`
Solve the following homogeneous differential equation:
(y2 – 2xy) dx = (x2 – 2xy) dy
Solve the following:
`x ("d"y)/("d"x) + 2y = x^4`
Solve the following:
`("d"y)/("d"x) + (3x^2)/(1 + x^3) y = (1 + x^2)/(1 + x^3)`
Solve the following:
`("d"y)/("d"x) + y tan x = cos^3x`
Solve the following:
`("d"y)/("d"x) + y/x = x"e"^x`
Solve the following:
A bank pays interest by continuous compounding, that is by treating the interest rate as the instantaneous rate of change of principal. A man invests ₹ 1,00,000 in the bank deposit which accrues interest, 8% per year compounded continuously. How much will he get after 10 years? (e0.8 = 2.2255)
Choose the correct alternative:
If y = ex + c – c3 then its differential equation 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:
A homogeneous differential equation of the form `("d"y)/("d"x) = f(y/x)` can be solved by making substitution
Choose the correct alternative:
Which of the following is the homogeneous differential equation?
Solve `("d"y)/("d"x) + y cos x + x = 2 cos x`
