E. Use separation of variables or linear differential equations to solve the following differential equations or initial value problems. dy 1. ey =e=y+e=2x-y d.x 2. 3. dy dx dy dx = xy - 2x + 4y - 8 2xy + x - 2y - 1 = : 4x³y—y, y(1) = -3 (Solve the DE using separation of variables and linear order differential equation.) 1 4. (x²+4)y' + 3xy = =. Use trigonometric substitution for the indefinite integral of the integrating factor multiplied by the right side of the standard form of this given linear DE. X
E. Use separation of variables or linear differential equations to solve the following differential equations or initial value problems. dy 1. ey =e=y+e=2x-y d.x 2. 3. dy dx dy dx = xy - 2x + 4y - 8 2xy + x - 2y - 1 = : 4x³y—y, y(1) = -3 (Solve the DE using separation of variables and linear order differential equation.) 1 4. (x²+4)y' + 3xy = =. Use trigonometric substitution for the indefinite integral of the integrating factor multiplied by the right side of the standard form of this given linear DE. X
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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Please answer number 4 please
Transcribed Image Text:E. Use separation of variables or linear differential equations to solve the following differential equations
or initial value problems.
dy
1. ey =e=y+e=2x-y
d.x
2.
3.
dy
dx
dy
dx
=
xy - 2x + 4y - 8
2xy + x - 2y - 1
=
: 4x³y—y, y(1) = -3 (Solve the DE using separation of variables and linear order differential
equation.)
1
4. (x²+4)y' + 3xy = =. Use trigonometric substitution for the indefinite integral of the integrating
factor multiplied by the right side of the standard form of this given linear DE.
X
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