5. Solve the ODE. dy y dx (2x-3)(21) = 2(x-2)(x-1) 6. Find the general solution of the ODE. y" - 6y' +9y=x-33x 7. Find the general solution of the ODE on (0,00). 8. x²y" - xy' + y = 2x Solve the IVP. Answer in explicit form. State the interval of validity for your solution. 9. x(x+1)- dy dx +xy = 1 y(e) = 1 Find the general solution of the ODE. + 4y = 3 sin(2x)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.1: Equations
Problem 75E
Question
5.
Solve the ODE.
dy
y dx
(2x-3)(21)
=
2(x-2)(x-1)
6. Find the general solution of the ODE.
y" - 6y' +9y=x-33x
7. Find the general solution of the ODE on (0,00).
8.
x²y" - xy' + y = 2x
Solve the IVP. Answer in explicit form. State the interval of validity for your
solution.
9.
x(x+1)-
dy
dx
+xy = 1
y(e) = 1
Find the general solution of the ODE.
+ 4y = 3 sin(2x)
Transcribed Image Text:5. Solve the ODE. dy y dx (2x-3)(21) = 2(x-2)(x-1) 6. Find the general solution of the ODE. y" - 6y' +9y=x-33x 7. Find the general solution of the ODE on (0,00). 8. x²y" - xy' + y = 2x Solve the IVP. Answer in explicit form. State the interval of validity for your solution. 9. x(x+1)- dy dx +xy = 1 y(e) = 1 Find the general solution of the ODE. + 4y = 3 sin(2x)
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