Write the particular solution of the first order linear differential equation (1 + x)dy + (y - cosx) dx = 0; when y(0) = 1. In writing your final answer, follow the format 2x^3ycosx-3y^2+x^3y=c. If it involved product of a variable and trigonometric function, write first the variable followed by the trigonometric function. If in a term it involved x and y, write x first followed by y whatever the exponent be. The value of the constant of integration c is written on the right side of the equation. Strictly no spaces between symbols. Do not use grouping symbols for the product or multiplication symbol. All letters should be in small letter and the order of the addends is not necessary. Use the symbol (^) caret to denote the exponent of the variable. Use the / symbol to denote quotient
Write the particular solution of the first order linear differential equation (1 + x)dy + (y - cosx) dx = 0; when y(0) = 1. In writing your final answer, follow the format 2x^3ycosx-3y^2+x^3y=c. If it involved product of a variable and trigonometric function, write first the variable followed by the trigonometric function. If in a term it involved x and y, write x first followed by y whatever the exponent be. The value of the constant of integration c is written on the right side of the equation. Strictly no spaces between symbols. Do not use grouping symbols for the product or multiplication symbol. All letters should be in small letter and the order of the addends is not necessary. Use the symbol (^) caret to denote the exponent of the variable. Use the / symbol to denote quotient
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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Transcribed Image Text:Write the particular solution of
the first order linear differential
equation (1 + x)dy + (y - cosx)dx
0; when y(0) = 1. In writing your
final answer, follow the format
2x^3ycosx-3y^2+x^3y=c. If it
involved product of a variable and
trigonometric function, write first
the variable followed by the
trigonometric function. If in a
term it involved x and y, write x
first followed by y whatever the
exponent be. The value of the
constant of integration c is
written on the right side of the
equation. Strictly no spaces
between symbols. Do not use
grouping symbols for the product
or multiplication symbol. All
letters should be in small letter
and the order of the addends is
not necessary. Use the symbol (^)
caret to denote the exponent of
the variable. Use the / symbol to
denote quotient.
=
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