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Consider the equation x 2 y′′+ xy′- y = 4x ln x (a) Verify that x is a solution to the homogeneous equation. (b) Use the method of reduction of order to derive the second
Find the sum of first 40 positive integers divisible by 6 also find the sum of first 20 positive integers divisible by 5 or 6. Ans: No's which are divisible by 6 are
The hypotenuse of a right triangle is 20m. If the difference between the length of the other sides is 4m. Find the sides. Ans: APQ x 2 + y 2 = 202 x 2 + y 2 = 400
A body is constrained to move in a path y = 1+ x^2 and its motion is resisted by friction. The co-efficient of friction is 0.3. The body is acted on by a force F directed towards t
find the domain of the function f(x) = (| sin inverse sin x | - cos inverse cos x) ^ 1/2
a) Let n = (abc) 7 . Prove that n ≡ a + b + c (mod 6). b) Use congruences to show that 4|3 2n - 1 for all integers n ≥ 0.
Dividing Mixed Numbers Dividing mixed numbers is a 3-step process: 1. Convert the mixed numbers to improper fractions. 2. Divide the fractions 3. Convert the result ba
defination of uper boundarie .
cauchy integral theorem
Find the x and y intercepts for the following equations: 3y=3x -y=-x-4 2x+3y=6 y=5
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