Note that the solution of the DE: y(x) = e* (S e*~*dx +C) contains an anti derivative which has no closed form. f. Write the expression for y(x) as a definite integral with variable upper limit. g. Find the value of the parameter C based on the condition y(0) h. Use your calculator to graph the solution in the figure under d).

Note that the solution of the DE: y(x) = e* (S e~dx +C) contains an anti derivative which has no closed form. f. Write the expression for y(x) as a definite integral with variable upper limit. g. Find the value of the parameter C based on the condition y(0) h. Use your calculator to graph the solution in the figure under d).

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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Question

Note that the solution of the DE:
y(x) = e
Se*dx+
contains an anti derivative which has no closed form.
f. Write the expression for y(x) as a definite integral with variable upper limit.
g. Find the value of the parameter C based on the condition y(0) = 1
h. Use your calculator to graph the solution in the figure under d).

Expert Solution

Step 1

Note: As there is not any point as $(d)$ . So we cannot solve question $(h .)$ . Here is the solution of $(f) & (g)$ .

The differential equation:

$y (x) = e^{- x^{2}} (\int e^{x^{2} - x} + C)$ . It is given $y (0) = 1$ .

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ISBN:

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Publisher:

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