Advertisements
Advertisements
प्रश्न
Choose the correct alternative:
Which of the following is the homogeneous differential equation?
पर्याय
(3x – 5) dx = (4y – 1) dy
xy dx – (x3 + y3) dy = 0
y2 dx + (x2 – xy – y2) dy = 0
(x2 + y) dx = (y2 + x) dy
Advertisements
उत्तर
y2 dx + (x2 – xy – y2) dy = 0
APPEARS IN
संबंधित प्रश्न
Solve the following differential equation:
`[x + y cos(y/x)] "d"x = x cos(y/x) "d"y`
Solve: `(1 + x^2)/(1 + y) = xy ("d"y)/("d"x)`
Find the curve whose gradient at any point P(x, y) on it is `(x - "a")/(y - "b")` and which passes through the origin
Solve the following homogeneous differential equation:
`x ("d"y)/("d"x) - y = sqrt(x^2 + y^2)`
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:
The integrating factor of the differential equation `("d"y)/("d"x) + "P"x` = Q is
Choose the correct alternative:
The differential equation of y = mx + c is (m and c are arbitrary constants)
Form the differential equation having for its general solution y = ax2 + bx
Solve (D2 – 3D + 2)y = e4x given y = 0 when x = 0 and x = 1
Solve `("d"y)/("d"x) = xy + x + y + 1`
