Advertisements
Advertisements
प्रश्न
Choose the correct alternative:
The differential equation of y = mx + c is (m and c are arbitrary constants)
विकल्प
`("d"^2y)/("d"x^2) = 0`
`y = x ("d"y)/("d"x) + "c"`
xdy + ydx = 0
yd – xdy = 0
उत्तर
`("d"^2y)/("d"x^2) = 0`
APPEARS IN
संबंधित प्रश्न
Solve the following differential equation:
`(ydx - xdy) cot (x/y)` = ny2 dx
Solve the following differential equation:
`tan y ("d"y)/("d"x) = cos(x + y) + cos(x - y)`
Solve the following differential equation:
`(x^3 + y^3)"d"y - x^2 y"d"x` = 0
Solve the following differential equation:
`x ("d"y)/("d"x) = y - xcos^2(y/x)`
Choose the correct alternative:
The solution of `("d"y)/("d"x) + "p"(x)y = 0` 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: `("d"y)/("d"x) = y sin 2x`
Solve the following:
`("d"y)/("d"x) + y tan x = cos^3x`
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)
A manufacturing company has found that the cost C of operating and maintaining the equipment is related to the length ’m’ of intervals between overhauls by the equation `"m"^2 "dC"/"dm" + 2"mC"` = 2 and c = 4 and when = 2. Find the relationship between C and m