Solve the initial value problem correctly yy'+ x=√(x2+y2) with y(2)=-√(12). a) To solve this, we should use the substitution u= x2+y2 u'=2(x+yy') b) After the substitution from the previous part, we obtain the following linear differential equation in x,u,u'. (u'/2)=√u Please solve c) correctly c) What is the solution to the original initial value problem that is described by the following equation in x,y? ________________ The left side must be a variable or function
Solve the initial value problem correctly yy'+ x=√(x2+y2) with y(2)=-√(12). a) To solve this, we should use the substitution u= x2+y2 u'=2(x+yy') b) After the substitution from the previous part, we obtain the following linear differential equation in x,u,u'. (u'/2)=√u Please solve c) correctly c) What is the solution to the original initial value problem that is described by the following equation in x,y? ________________ The left side must be a variable or function
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 the initial value problem correctly yy'+ x=√(x2+y2) with y(2)=-√(12).
a) To solve this, we should use the substitution
u= x2+y2
u'=2(x+yy')
b) After the substitution from the previous part, we obtain the following linear
(u'/2)=√u
Please solve c) correctly
c) What is the solution to the original initial value problem that is described by the following equation in x,y? ________________
| The left side must be a variable or function |
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