Homework 1, by Jan 28th Instruction: 1.W rite your section number and name clearly in upper cases Otherwise homework will not be graded. 2. Your homework must be collected before the class starts by your section numbers. In problems 1 through 4 determine the order; also state whether the equation is linear or nonlinear. ind dy dy n 2. omosenous near In problems 5 through 7 verify that each given function is a solution of the equation. y=3t + t2 8. For an equation y"-y,-Gy 0 show that yty2 and Cyh are also solutions for any constant C where yı =c" and y2 = e-a For the following equations find the general solution or unique solution if an initial con- dition is given. No need to solve your solution for y. 9. 10. dr 1+2 y(0) = 1. dy 11.ez+2y dz 12. r cos z dr -ye dy-0 dI 1 dr 5 13.z 2r +

Question

Question 8

Homework 1, by Jan 28th
Instruction:
1.W
rite your section number and name clearly in upper cases
Otherwise homework will not be graded.
2. Your homework must be collected before the class starts by your section numbers.
In problems 1 through 4 determine the order; also state whether the equation is linear
or nonlinear.
ind
dy dy
n 2.
omosenous
near
In problems 5 through 7 verify that each given function is a solution of the equation.
y=3t + t2
8. For an equation y"-y,-Gy 0 show that yty2 and Cyh are also solutions for any
constant C where yı =c" and y2 = e-a
For the following equations find the general solution or unique solution if an initial con-
dition is given. No need to solve your solution for y.
9.
10.
dr
1+2
y(0) = 1.
dy
11.ez+2y
dz
12. r cos z dr -ye dy-0
dI 1
dr 5
13.z
2r +
Expand
Transcribed Image Text

Homework 1, by Jan 28th Instruction: 1.W rite your section number and name clearly in upper cases Otherwise homework will not be graded. 2. Your homework must be collected before the class starts by your section numbers. In problems 1 through 4 determine the order; also state whether the equation is linear or nonlinear. ind dy dy n 2. omosenous near In problems 5 through 7 verify that each given function is a solution of the equation. y=3t + t2 8. For an equation y"-y,-Gy 0 show that yty2 and Cyh are also solutions for any constant C where yı =c" and y2 = e-a For the following equations find the general solution or unique solution if an initial con- dition is given. No need to solve your solution for y. 9. 10. dr 1+2 y(0) = 1. dy 11.ez+2y dz 12. r cos z dr -ye dy-0 dI 1 dr 5 13.z 2r +

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