Please select a subject first
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In a factory there are six jobs to be performed each of which should go through two machines A and B in the order A - B. The processing timing (in hours) for the jobs arc given here. You are required to determine the sequence for performing the jobs that would minimize the total elapsed time T. What is the value of T? Also find the idle time for machines · A and B.
| Jobs | J1 | J2 | J3 | J4 | J5 | J6 |
| Machine A | 1 | 3 | 8 | 5 | 6 | 3 |
| MAchine B | 5 | 6 | 3 | 2 | 2 | 10 |
Concept: undefined >> undefined
Feasible region is the set of points which satisfy ______.
Concept: undefined >> undefined
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Choose the correct option from the given alternatives:
The solution of `1/"x" * "dy"/"dx" = tan^-1 "x"` is
Concept: undefined >> undefined
In the following example, verify that the given function is a solution of the corresponding differential equation.
| Solution | D.E. |
| xy = log y + k | y' (1 - xy) = y2 |
Concept: undefined >> undefined
In the following example, verify that the given function is a solution of the corresponding differential equation.
| Solution | D.E. |
| y = xn | `x^2(d^2y)/dx^2 - n xx (xdy)/dx + ny =0` |
Concept: undefined >> undefined
In each of the following examples, verify that the given function is a solution of the corresponding differential equation.
| Solution | D.E. |
| y = ex | `dy/ dx= y` |
Concept: undefined >> undefined
Determine the order and degree of the following differential equations.
| Solution | D.E. |
| y = 1 − logx | `x^2(d^2y)/dx^2 = 1` |
Concept: undefined >> undefined
Determine the order and degree of the following differential equations.
| Solution | D.E |
| y = aex + be−x | `(d^2y)/dx^2= 1` |
Concept: undefined >> undefined
Determine the order and degree of the following differential equations.
| Solution | D.E. |
| ax2 + by2 = 5 | `xy(d^2y)/dx^2+ x(dy/dx)^2 = y dy/dx` |
Concept: undefined >> undefined
Find the differential equation whose general solution is
x3 + y3 = 35ax.
Concept: undefined >> undefined
Form the differential equation from the relation x2 + 4y2 = 4b2
Concept: undefined >> undefined
Solve the following differential equation.
`dy/dx = x^2 y + y`
Concept: undefined >> undefined
Solve the following differential equation.
`(dθ)/dt = − k (θ − θ_0)`
Concept: undefined >> undefined
Solve the following differential equation.
`y^3 - dy/dx = x dy/dx`
Concept: undefined >> undefined
For each of the following differential equations find the particular solution.
(x − y2 x) dx − (y + x2 y) dy = 0, when x = 2, y = 0
Concept: undefined >> undefined
For the following differential equation find the particular solution.
`(x + 1) dy/dx − 1 = 2e^(−y)`,
when y = 0, x = 1
Concept: undefined >> undefined
For each of the following differential equations find the particular solution.
`y (1 + logx)dx/dy - x log x = 0`,
when x=e, y = e2.
Concept: undefined >> undefined
For the following differential equation find the particular solution.
`dy/ dx = (4x + y + 1),
when y = 1, x = 0
Concept: undefined >> undefined
Solve the following differential equation.
xdx + 2y dx = 0
Concept: undefined >> undefined
Solve the following differential equation.
y2 dx + (xy + x2 ) dy = 0
Concept: undefined >> undefined
