4. SOLVE THE FOLLOWING PROBLEMS BY THE METHOD OFUNDTERMINED COEFFICINTS.(a) 3y" + 2y = 5e2x + 2x³(b) 3y" + 2y = x²e-3x203y" + 2y = 20 sin 2x

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Answered: 4. SOLVE THE FOLLOWING PROBLEMS BY THE…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter5: Polynomial And Rational Functions

Section: Chapter Questions

Problem 27PT: Find the unknown value. 27. y varies jointly with x and the cube root of 2. If when x=2 and...

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Find the unknown value. 27. y varies jointly with x and the cube root of 2. If when x=2 and z=27,y=12, find y if x=5 and z=8.
Find a result by using undetermined coefficients for ý - 5ý +6v = xả + ezx + 3 sin2x
36. Solve f x+2 - dx the following two ways: (x² +4x)3/2 (a) with the substitution u = x² + 4x; (b) by completing the square and then applying the trigonometric substitution x + 2 = 2 sec u.
Solve (13) x2y′′+5xy′+4y=0,x>0.
4.a) Find d y = In (2x+5) b) Find dy dx y = ³√x²+2x e³x (5x²)
LYn+1 . You are monitoring the movement of a 2D alien. After months of analysis, you have come up with a the following equation- Xn+1 7 2] Yn Which means, if at nth minute, the 2D aliean is at point (1, 2), at n+ 1thminute, they will be at point (7 x 1+2× 2, –4 × 1+1× 2)cint (11, –2) If you diagonalize the matrix that's been mentioned above, it should look like this - a e 1 0 d -1 f] Let's say, at minute 0, the 2D alien is at point (1,1). Let point (X5, Y5) be its position at minute 5. 1(a) What is the value of X_5 and Y_5 ?
LYn+1 . You are monitoring the movement of a 2D alien. After months of analysis, you have come up with a the following equation- Xn+1 7 2] Yn Which means, if at nth minute, the 2D aliean is at point (1, 2), at n+ 1thminute, they will be at point (7 x 1+2× 2, –4 × 1+1× 2)cint (11, –2) If you diagonalize the matrix that's been mentioned above, it should look like this - a e 1 0 d 1(a) What is the value of a,b,c,d,e,f?
1. Solve the following first-order equation: (2ry + 3y?)dr - (2xy+x?)dy = 0.
Solve S. a (2Ja-y-) dy a
1. Factor x³+3x²y+3xy²+y³. 2. Simplify (x³-8)(x-2). 3. Expand (x2+1)(x-5)(2x+3). 4. Solve sin x = 2-x for x. 5. Solve 5x+2y+4z = 8, -3x+y+2z = -7, 2x+y+z = 3 for x, y and z. 6. Solve y?-5xy-y+6x²+x = 2 for x. 7. Find the first derivative of the function (sinx/(In(x²+1))-e* and eval 8. Find the 12th derivative of the function (x/2+1)® 9. Find the first and second partial derivatives of the function e sinxy
II. Solve xdy + (3x – 2y)dx = 0 in two ways.
4. Solve, using the method of undetermined coefficients: y" – 4y = (x² – 3) sin 2x

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4. SOLVE THE FOLLOWING PROBLEMS BY THE METHOD OF UNDTERMINED COEFFICINTS. (a) 3y" + 2y = 5e²x + 2x³ (b) 3y" + 2y = x²e-³x (c) 3y" + 2y = 20 sin 2x