Advertisements
Advertisements
प्रश्न
Choose the correct alternative:
Solution of the equation `x("d"y)/("d"x)` = y log y is
पर्याय
y = aex
y = be2x
y = be–2x
y = eax
उत्तर
y = eax
APPEARS IN
संबंधित प्रश्न
Form the differential equation representing the family of ellipses having centre at the origin and foci on x-axis.
(y + xy) dx + (x − xy2) dy = 0
\[x^2 \frac{dy}{dx} = x^2 + xy + y^2 \]
Solve the following initial value problem:-
\[dy = \cos x\left( 2 - y\text{ cosec }x \right)dx\]
Find the equation of the curve which passes through the point (3, −4) and has the slope \[\frac{2y}{x}\] at any point (x, y) on it.
Find the differential equation whose general solution is
x3 + y3 = 35ax.
Form the differential equation from the relation x2 + 4y2 = 4b2
Solve the differential equation:
`e^(dy/dx) = x`
`dy/dx = log x`
Solve the following differential equation
`x^2 ("d"y)/("d"x)` = x2 + xy − y2
Integrating factor of the differential equation `x "dy"/"dx" - y` = sinx is ______.
Given that `"dy"/"dx" = "e"^-2x` and y = 0 when x = 5. Find the value of x when y = 3.
lf the straight lines `ax + by + p` = 0 and `x cos alpha + y sin alpha = p` are inclined at an angle π/4 and concurrent with the straight line `x sin alpha - y cos alpha` = 0, then the value of `a^2 + b^2` is
There are n students in a school. If r % among the students are 12 years or younger, which of the following expressions represents the number of students who are older than 12?