Math Problem Statement

for the question above which is the LETTER B, make the FORMAT OF THE SOLUTION just like the attached photo

Differentiate the given function up to the second order and form the desired differential equation from y = c1e^(2x) + c2e^(-3x).

Solution

I see you've uploaded an image and would like the solution for question B formatted similarly to the style in the provided image. Could you please provide the details of question B? This will help me format the solution properly.

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Math Problem Analysis

Mathematical Concepts

Differential Equations
Exponential Functions
Linear Combinations

Formulas

y = c1e^(2x) + c2e^(-3x)
y' = 2c1e^(2x) - 3c2e^(-3x)
y'' = 4c1e^(2x) + 9c2e^(-3x)

Theorems

Superposition principle
General solution of second-order linear differential equations

Suitable Grade Level

University Level

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