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Variation of parameters, In the previous section we looked at the method of...

In the previous section we looked at the method of undetermined coefficients for getting a particular solution to p (t) y′′ + q (t) y′ + r (t) y = g (t)    .....................

Solve 3 + 2 ln ( x /7+3 ) = -4 logarithm, Solve 3 + 2 ln ( x /7+3 ) = -4 . ...

Solve 3 + 2 ln ( x /7+3 ) = -4 . Solution This initial step in this problem is to get the logarithm by itself on one side of the equation  along with a coefficient of 1.

Find the third vertex of equilateral triangle, If two vertices of an equila...

If two vertices of an equilateral triangle are (0, 0) and (3, 0), find the third vertex. [Ans: 3/2 , 3/√ 3/2  or 3/2, -3√ 3/2] Ans:    OA = OB = AB OA 2 = OB 2 = AB 2

Determine the taylor series, Example : Determine the Taylor series for f(x)...

Example : Determine the Taylor series for f(x) = e x about x=0. Solution It is probably one of the easiest functions to get the Taylor series for. We just require recallin

Determine the range of given algorithm, The division algorithm says that wh...

The division algorithm says that when a is divided by b, a unique quotient and remainder is obtained. For a fixed integer b where b ≥ 2, consider the function f : Z → Z given by f(

Determine the circumference, If Gretta's bicycle has a 25-inch radius wheel...

If Gretta's bicycle has a 25-inch radius wheel, how far will she travel in two turns of the wheel? (π = 3.14) a. 491 in b. 78.5 in c. 100 in d. 157 in d. To determin

How to subtract fractions with the same denominators, Q. How to Subtract fr...

Q. How to Subtract fractions with the same denominators? Ans. Subtracting fractions is basically the same as adding them. If you don't know how to add fractions, you shoul

Percentage, By selling a violin for $4950, giving a 10% discount on the mar...

By selling a violin for $4950, giving a 10% discount on the marked price, a trader gained $950 on his investment, Find, Cost price.

How many relations are possible from a set, How many relations are possible...

How many relations are possible from a set A of 'm' elements to another set B of 'n' elements?     Ans: A relation R from a set A to other set B is specified as any subset of A

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