Q-1Solve the differential equations by direct dy method (1 mark) dx 4x2 + 4x + 2 Q-2 Solve the differential equation by variable separable method write your answer in explicit dy form 2x (1 mark) ey dx Q-3 Solve the homogeneous differential equation dy + cot (2). (1 mark ) dx Q-4 Solve the linear differential equation dy + –ydx 4xdx (1 mark )

Q-1Solve the differential equations by direct dy method (1 mark) dx 4x2 + 4x + 2 Q-2 Solve the differential equation by variable separable method write your answer in explicit dy form 2x (1 mark) ey dx Q-3 Solve the homogeneous differential equation dy + cot (2). (1 mark ) dx Q-4 Solve the linear differential equation dy + –ydx 4xdx (1 mark )

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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Concept explainers

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

Q-1Solve the differential equations by direct
dy
method
dx
1
( 1 mark)
4x2 + 4x + 2
Q-2 Solve the differential equation by variable
separable method write your answer in explicit
dy
form
2x
(1 mark)
dx
ey
Q-3 Solve the homogeneous differential equation
dy
+ cot (2). (1 mark )
dx
Q-4 Solve the linear differential equation
dy + =ydx
4xdx (1 mark )
-

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