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What is the solution of the differential equation y' = 2y + 3?
What is the solution of the differential equation y' = 2y + 3?
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Q1
What is the solution of the differential equation y' = 2y + 3?
y = Ce^(2x) - 3/2
y = Ce^(2x) + 3/2
y = 3e^(2x)
y = 2e^(x) + C
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The integrating factor is e^(-2x). Solving gives y = Ce^(2x) + 3/2.
Questions & Step-by-step Solutions
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Q
Q: What is the solution of the differential equation y' = 2y + 3?
Solution:
The integrating factor is e^(-2x). Solving gives y = Ce^(2x) + 3/2.
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