Differential equations UNIT : HIGH-ORDER LINEAR DIFFERENTIAL EQUATIONS. VRONSKIAN. A FUNDAMENTAL SOLUTION. FUNDAMENTAL THEOREMS. For the given functions y1 and y2, determine the following: 1) Find the Vronsky determinant. 2) Are the given solutions a system of fundamental solutions? 3) Find the form of the homogeneous linear second-order differential equation corresponding to these solutions. 4) Write the general solution of the found differential equation
Differential equations UNIT : HIGH-ORDER LINEAR DIFFERENTIAL EQUATIONS. VRONSKIAN. A FUNDAMENTAL SOLUTION. FUNDAMENTAL THEOREMS. For the given functions y1 and y2, determine the following: 1) Find the Vronsky determinant. 2) Are the given solutions a system of fundamental solutions? 3) Find the form of the homogeneous linear second-order differential equation corresponding to these solutions. 4) Write the general solution of the found differential equation
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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UNIT : HIGH-ORDER LINEAR DIFFERENTIAL EQUATIONS. VRONSKIAN. A FUNDAMENTAL SOLUTION. FUNDAMENTAL THEOREMS.
For the given functions y1 and y2, determine the following:
1) Find the Vronsky determinant.
2) Are the given solutions a system of fundamental solutions?
3) Find the form of the homogeneous linear second-order differential equation corresponding to these solutions.
4) Write the general solution of the found differential equation
Transcribed Image Text:Y₁ = ex cos2x va y₂
У1
=
ex sin2x
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