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Answer:
m = - 2 is the value of m that the function y= e^mx is a solution of the differential equation, y' + 2y = 0.
Step-by-step explanation:
To determine all values of m so that the function y= e^mx is a solution of the given differential equation.
First, we will find y'.
From, y= e^mx
But,
Hence,
∴
Now, we will put the values of y' and y into the given differential equation y' + 2y =0
From the question,
and
Then, becomes
Then,
∴
Hence, m = - 2 is the value of m that the function y= e^mx is a solution of the differential equation, y' + 2y = 0.
Answer:
6(5·7)
Step-by-step explanation:
Given function:
- 30+42
- to find the answer using distributive property..
what distributive property is:
- to find the greatest common factor and then multiply using parentheses.
Factoring out the greatest common factor:
·
·
Rewrite the expression using parentheses:
·
Therefore, with using distributive property, we can change the expression 30+42 into 6(5·7).