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1-15 GENERAL SOLUTION Find a general solution. Check your answer by substitution. ODES of this kind have important applications to be discussed in Secs. 2.4, 2.7, and 2.9. 6. 10y" 32y + 25.6y = 0 16-20 FIND AN ODE y" + ay + by = 0 for the given basis. 18. cos 27x, sin 27x 21-30 INITIAL VALUES PROBLEMS Solve the IVP. Check that your answer satisfies the ODE as well as the initial conditions. Show the details of your work. 24. 4y"-4y3y = 0, y(-2)=e, y'(-2)=-e/2

1-15 GENERAL SOLUTION Find a general solution. Check your answer by substitution. ODES of this kind have important applications to be discussed in Secs. 2.4, 2.7, and 2.9. 6. 10y" 32y + 25.6y = 0 16-20 FIND AN ODE y" + ay + by = 0 for the given basis. 18. cos 27x, sin 27x 21-30 INITIAL VALUES PROBLEMS Solve the IVP. Check that your answer satisfies the ODE as well as the initial conditions. Show the details of your work. 24. 4y"-4y3y = 0, y(-2)=e, y'(-2)=-e/2

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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solve question 6 , 18 and 24

 

1-15 GENERAL SOLUTION Find a general solution. Check your answer by substitution. ODES of this kind have important applications to be discussed in Secs. 2.4, 2.7, and 2.9. 6. 10y" 32y + 25.6y = 0. 16-20 FIND AN ODE y"+ay+by=0 for the given basis. 18. cos 27x, sin 27x 21-30 INITIAL VALUES PROBLEMS Solve the IVP. Check that your answer satisfies the ODE as well as the initial conditions. Show the details of your work. 24. 4y" - 4y - 3y = 0, y(-2) = e. y'(-2) = -e/2
Transcribed Image Text:1-15 GENERAL SOLUTION Find a general solution. Check your answer by substitution. ODES of this kind have important applications to be discussed in Secs. 2.4, 2.7, and 2.9. 6. 10y" 32y + 25.6y = 0. 16-20 FIND AN ODE y"+ay+by=0 for the given basis. 18. cos 27x, sin 27x 21-30 INITIAL VALUES PROBLEMS Solve the IVP. Check that your answer satisfies the ODE as well as the initial conditions. Show the details of your work. 24. 4y" - 4y - 3y = 0, y(-2) = e. y'(-2) = -e/2
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