(ii) You are encourage Problem 50 in Exercise (iii) Initial conditions interested in solving specified on y(x) or it tions such as y(1) = 0, are called boundary c boundary conditions is is a boundary-value pr= When we start to only first-order equati. ematical description c second-order IVPS or problems in Chapters 4 EXERCISES 1.2 Ansv In Problems 1 and 2, y = 1/(1 + cje¯*) is a one-parameter family of solutions of the first-order DE y' = y – y². Find a solution of the first-order IVP consisting of this differential equation and the given the give 7. initial condition. 8. 1. y(0) = - 2. У(- 1) — 9. In Problems 3–6, y = 1/(x² + c) is a one-parameter family of so- lutions of the first-order DE y' + 2xy² = 0. Find a solution of the first-order IVP consisting of this differential equation and the given initial condition. Give the largest interval I over which the solution is defined. 10. In E solu sece give 3. y(2) = } 4. y(-2) = } 11. 6. y() = 5. y(0) 12. 13. In Problems 7–10, x = c1 cos t + c2 sin t is a two-parameter family of solutions of the second-order DE x" + x = 0. Find a solution of 14. Copyright 2018 Cengage Learning. All Rights Reserved. May not be copied, scanne

Question

#1 

(ii) You are encourage
Problem 50 in Exercise
(iii) Initial conditions
interested in solving
specified on y(x) or it
tions such as
y(1) = 0,
are called boundary c
boundary conditions is
is a boundary-value pr=
When we start to
only first-order equati.
ematical description c
second-order IVPS or
problems in Chapters 4
EXERCISES 1.2
Ansv
In Problems 1 and 2, y = 1/(1 + cje¯*) is a one-parameter family
of solutions of the first-order DE y' = y – y². Find a solution of the
first-order IVP consisting of this differential equation and the given
the
give
7.
initial condition.
8.
1. y(0) = -
2. У(- 1) —
9.
In Problems 3–6, y = 1/(x² + c) is a one-parameter family of so-
lutions of the first-order DE y' + 2xy² = 0. Find a solution of the
first-order IVP consisting of this differential equation and the given
initial condition. Give the largest interval I over which the solution
is defined.
10.
In E
solu
sece
give
3. y(2) = }
4. y(-2) = }
11.
6. y() =
5. y(0)
12.
13.
In Problems 7–10, x = c1 cos t + c2 sin t is a two-parameter family
of solutions of the second-order DE x" + x = 0. Find a solution of
14.
Copyright 2018 Cengage Learning. All Rights Reserved. May not be copied, scanne
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(ii) You are encourage Problem 50 in Exercise (iii) Initial conditions interested in solving specified on y(x) or it tions such as y(1) = 0, are called boundary c boundary conditions is is a boundary-value pr= When we start to only first-order equati. ematical description c second-order IVPS or problems in Chapters 4 EXERCISES 1.2 Ansv In Problems 1 and 2, y = 1/(1 + cje¯*) is a one-parameter family of solutions of the first-order DE y' = y – y². Find a solution of the first-order IVP consisting of this differential equation and the given the give 7. initial condition. 8. 1. y(0) = - 2. У(- 1) — 9. In Problems 3–6, y = 1/(x² + c) is a one-parameter family of so- lutions of the first-order DE y' + 2xy² = 0. Find a solution of the first-order IVP consisting of this differential equation and the given initial condition. Give the largest interval I over which the solution is defined. 10. In E solu sece give 3. y(2) = } 4. y(-2) = } 11. 6. y() = 5. y(0) 12. 13. In Problems 7–10, x = c1 cos t + c2 sin t is a two-parameter family of solutions of the second-order DE x" + x = 0. Find a solution of 14. Copyright 2018 Cengage Learning. All Rights Reserved. May not be copied, scanne

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