(10p) 3. Use Cramer's Rule to solve the linear algebraic system of equations given below. (If you need a review about the topic, you can refer to your textbook Edwards, Penney, Calvis, (2018), Chapter 3.6.) x14x2 + 2x3 = 4x1 + 2x2 + x3 = 2x12x25x3 = 3 1 (30p) 4. Find the unique solutions of the differential equations given below, using the initial conditions provided. (If you need a review about the topic, you can refer to your textbook Edwards, Penney, Calvis, (2018), Chapters 1.4 and 1.5.) a) dy = 3x² (y² + 1), y(0) = 1 dx b) xy' + 3y = 2x5, y(2) = 1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 10E
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(10p) 3. Use Cramer's Rule to solve the linear algebraic system of equations given below. (If
you need a review about the topic, you can refer to your textbook Edwards, Penney, Calvis,
(2018), Chapter 3.6.)
x14x2 + 2x3 =
4x1 + 2x2 + x3 =
2x12x25x3
=
3
1
(30p) 4. Find the unique solutions of the differential equations given below, using the initial
conditions provided. (If you need a review about the topic, you can refer to your textbook
Edwards, Penney, Calvis, (2018), Chapters 1.4 and 1.5.)
a)
dy
=
3x² (y² + 1),
y(0) = 1
dx
b)
xy' + 3y = 2x5, y(2) = 1
Transcribed Image Text:(10p) 3. Use Cramer's Rule to solve the linear algebraic system of equations given below. (If you need a review about the topic, you can refer to your textbook Edwards, Penney, Calvis, (2018), Chapter 3.6.) x14x2 + 2x3 = 4x1 + 2x2 + x3 = 2x12x25x3 = 3 1 (30p) 4. Find the unique solutions of the differential equations given below, using the initial conditions provided. (If you need a review about the topic, you can refer to your textbook Edwards, Penney, Calvis, (2018), Chapters 1.4 and 1.5.) a) dy = 3x² (y² + 1), y(0) = 1 dx b) xy' + 3y = 2x5, y(2) = 1
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