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2. Solve the following initial value problem: dy + y² = 3x²y², y(0) = 1 4-5, y(0) = 2 a. b. dy dx

2. Solve the following initial value problem: dy + y² = 3x²y², y(0) = 1 4-5, y(0) = 2 a. b. dy dx

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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Only need help with Q1 part d and Q2 a and b, thank you!

Question 2 1. For each differential equations below, state whether the differential equation is separa- ble or not. If separable make sure to write it in a separable form (that is g(y) dy = h(x)). Clearly justify your answers and show your work. dx a. b. C. d. a. dy dx b. dy = dx dy dx dy dx xex y√1+ y² 4x² - y² 2. Solve the following initial value problem: dy + y² = 3x²y², y(0) = 1 dx y(0) = 2 dy dx + y² = 3x²y² y-5 x3 y-5 = x3, Note: Your explanation should include all the calculus and algebra steps that are part of solving each initial value problem. Your final answer should be written in the form "y =" on the left, with a function of x on the right.
Transcribed Image Text:Question 2 1. For each differential equations below, state whether the differential equation is separa- ble or not. If separable make sure to write it in a separable form (that is g(y) dy = h(x)). Clearly justify your answers and show your work. dx a. b. C. d. a. dy dx b. dy = dx dy dx dy dx xex y√1+ y² 4x² - y² 2. Solve the following initial value problem: dy + y² = 3x²y², y(0) = 1 dx y(0) = 2 dy dx + y² = 3x²y² y-5 x3 y-5 = x3, Note: Your explanation should include all the calculus and algebra steps that are part of solving each initial value problem. Your final answer should be written in the form "y =" on the left, with a function of x on the right.
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