Obtain the solution of the following differential equations. 1. y' = x+1 when x = 0,y = 0 у4+1

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Obtain the solution of the following differential equations.
1. у"
x+1
when x =
y4+1
0, у %3D0
2. xdy – ydx = x²dy
x2 – y²dx = 0
-
x²+y2
4. y'
ху
5. (1 – xy)-²dx + [y² + x²(1 - xy)-²]dy = 0 when x =2 and y=1
y?dy
7. ху' — у — 5х4 — Зх2 + 2х %3D 0
-
||
-
Transcribed Image Text:Obtain the solution of the following differential equations. 1. у" x+1 when x = y4+1 0, у %3D0 2. xdy – ydx = x²dy x2 – y²dx = 0 - x²+y2 4. y' ху 5. (1 – xy)-²dx + [y² + x²(1 - xy)-²]dy = 0 when x =2 and y=1 y?dy 7. ху' — у — 5х4 — Зх2 + 2х %3D 0 - || -
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