Problem 3 We assume y₁(x) solve the following differential equation: y" + P(x)y' + Q(x)y = 0, then we can find another solution y₂(x), using the following formula: e Y2(T) = Y1(T) | ² -dr. SP(z)dz y? We now consider to find the general solution to the equation y" - 4y + 4y = 0. (2.1) Show that y₁(x) = e²¹ is a solution of (1). (2.2) Using the formula we have above, find y2(x)
Problem 3 We assume y₁(x) solve the following differential equation: y" + P(x)y' + Q(x)y = 0, then we can find another solution y₂(x), using the following formula: e Y2(T) = Y1(T) | ² -dr. SP(z)dz y? We now consider to find the general solution to the equation y" - 4y + 4y = 0. (2.1) Show that y₁(x) = e²¹ is a solution of (1). (2.2) Using the formula we have above, find y2(x)
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 33CR
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