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I. Find the general solution of the following: 1. dy - 2x²¹ dx y 2. dx = xy dx 3. dy = (6e³x + 1)dx 3x

I. Find the general solution of the following: 1. dy - 2x²¹ dx y 2. dx = xy dx 3. dy = (6e³x + 1)dx 3x

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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WRAP-UP 東 To wrap-up, answer the following questions: 1. What is differential equation? Give at least 3 examples of DE. 2. How do we identify the order of a differential equation? 3. When do we say that a function is a solution to a given differential equation? 4. What does solving differential equation mean? 5. Explain separable differential equation. 6. How can we get a particular solution of a given differential equation? VALUING Some differential equations are solvable using separation of variables, wherein you isolate the terms with the same variable on only one side of the equation. Real-life problems can also be solved by separation. In political entities, for example, the separation of powers clarifies responsibilities and minimize chaos. Do you experience such problem that you solve by separation? How was it? SION OF OG INCLUDING PASI
Transcribed Image Text:WRAP-UP 東 To wrap-up, answer the following questions: 1. What is differential equation? Give at least 3 examples of DE. 2. How do we identify the order of a differential equation? 3. When do we say that a function is a solution to a given differential equation? 4. What does solving differential equation mean? 5. Explain separable differential equation. 6. How can we get a particular solution of a given differential equation? VALUING Some differential equations are solvable using separation of variables, wherein you isolate the terms with the same variable on only one side of the equation. Real-life problems can also be solved by separation. In political entities, for example, the separation of powers clarifies responsibilities and minimize chaos. Do you experience such problem that you solve by separation? How was it? SION OF OG INCLUDING PASI
I. Find the general solution of the following: 2x³ 1. dx y 2. dx = xy³ 3. dy = (6e³x + 1)dx II. Solve the initial value problems given the following: 2x² 1. =3 if y(1) = 2 dx 2. = xy if y(0) = 8 dx 3. dy = (6e³x + 1)dx if y(0) = 0
Transcribed Image Text:I. Find the general solution of the following: 2x³ 1. dx y 2. dx = xy³ 3. dy = (6e³x + 1)dx II. Solve the initial value problems given the following: 2x² 1. =3 if y(1) = 2 dx 2. = xy if y(0) = 8 dx 3. dy = (6e³x + 1)dx if y(0) = 0
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