Advertisements
Advertisements
प्रश्न
Choose the correct alternative:
A homogeneous differential equation of the form `("d"x)/("d"y) = f(x/y)` can be solved by making substitution
विकल्प
x = vy
y = vx
y = v
x = v
उत्तर
x = vy
APPEARS IN
संबंधित प्रश्न
Solve the following differential equation:
`(x^3 + y^3)"d"y - x^2 y"d"x` = 0
Choose the correct alternative:
The number of arbitrary constants in the general solutions of order n and n +1are respectively
Solve: `("d"y)/("d"x) = "ae"^y`
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:
The variable separable form of `("d"y)/("d"x) = (y(x - y))/(x(x + y))` by taking y = vx and `("d"y)/("d"x) = "v" + x "dv"/("d"x)` is
Choose the correct alternative:
Which of the following is the homogeneous differential equation?
Form the differential equation having for its general solution y = ax2 + bx
Solve `("d"y)/("d"x) + y cos x + x = 2 cos x`
Solve `("d"y)/("d"x) = xy + x + y + 1`
