Verify that y=sinx is a solution to dx dy 2cos x-sin x+y and solve the 2 cosx differential equation using the initial condition y(0)=-1
Verify that y=sinx is a solution to dx dy 2cos x-sin x+y and solve the 2 cosx differential equation using the initial condition y(0)=-1
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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Transcribed Image Text:Exercise 2.7
dy 2cos x-
x-sin? x+y?
and solve the
Verify that =sinx is a solution to
dx
2 cosx
differential equation using the initial condition y(0)=-1
2. Solve the following;
i)
y' (1-x)y² +(2x-1)y-x; given solution y = 1
L y'=-y +xy+1; given solution y = x
ii)
y'=-8xy² +4x(4x +1)y-(8x +4x2 -1): given soln. y = x
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