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Solve the following differential equation:
`("x" + 2"y"^3) "dy"/"dx" = "y"`
Concept: undefined >> undefined
Solve the following differential equation:
`"dy"/"dx" + "y" * sec "x" = tan "x"`
Concept: undefined >> undefined
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Solve the following differential equation:
`"x" "dy"/"dx" + "2y" = "x"^2 * log "x"`
Concept: undefined >> undefined
Solve the following differential equation:
`("x + y") "dy"/"dx" = 1`
Concept: undefined >> undefined
Solve the following differential equation:
`("x + a")"dy"/"dx" - 3"y" = ("x + a")^5`
Concept: undefined >> undefined
Solve the following differential equation:
dr + (2r cotθ + sin2θ)dθ = 0
Concept: undefined >> undefined
Solve the following differential equation:
y dx + (x - y2) dy = 0
Concept: undefined >> undefined
Solve the following differential equation:
`(1 - "x"^2) "dy"/"dx" + "2xy" = "x"(1 - "x"^2)^(1/2)`
Concept: undefined >> undefined
Solve the following differential equation:
`(1 + "x"^2) "dy"/"dx" + "y" = "e"^(tan^-1 "x")`
Concept: undefined >> undefined
Find the equation of the curve which passes through the origin and has the slope x + 3y - 1 at any point (x, y) on it.
Concept: undefined >> undefined
Find the equation of the curve passing through the point `(3/sqrt2, sqrt2)` having a slope of the tangent to the curve at any point (x, y) is -`"4x"/"9y"`.
Concept: undefined >> undefined
The curve passes through the point (0, 2). The sum of the coordinates of any point on the curve exceeds the slope of the tangent to the curve at any point by 5. Find the equation of the curve.
Concept: undefined >> undefined
If the slope of the tangent to the curve at each of its point is equal to the sum of abscissa and the product of the abscissa and ordinate of the point. Also, the curve passes through the point (0, 1). Find the equation of the curve.
Concept: undefined >> undefined
Form the differential equation of all circles which pass through the origin and whose centers lie on X-axis.
Concept: undefined >> undefined
Find the expected value, variance and standard deviation of the random variable whose p.m.f.’s are given below :
| x = x | 1 | 2 | 3 |
| P (X = x) | `1/5` | `2/5` | `2/5` |
Concept: undefined >> undefined
Find the expected value, variance and standard deviation of the random variable whose p.m.f.’s are given below :
| x = x | -1 | 0 | 3 |
| P (X = x) | `1/5` | `2/5` | `2/5` |
Concept: undefined >> undefined
Find the expected value, variance and standard deviation of the random variable whose p.m.f.’s are given below :
| x = x | 1 | 2 | 3 | ... | n |
| P (X = x) | `1/n` | `1/n` | `1/n` | ... | `1/n` |
Concept: undefined >> undefined
Find the expected value, variance, and standard deviation of the random variable whose p.m.f.’s are given below :
| x = x | 0 | 1 | 2 | 3 | 4 | 5 |
| P (X = x) | `1/32` | `5/32` | `10/32` | `10/32` | `5/32` | `1/32` |
Concept: undefined >> undefined
The graph of the inequality 3X − 4Y ≤ 12, X ≤ 1, X ≥ 0, Y ≥ 0 lies in fully in
Concept: undefined >> undefined
Sketch the graph of inequation x ≥ 5y in xoy co-ordinate system
Concept: undefined >> undefined
