Which of the following statements is true?

• MHB
• Sam Fuller
In summary, the statements are discussing different scenarios involving a variable y and its derivative y'. The first statement states that if y' = 3y, then y = e^2x. The second statement is missing information and does not ask a question. The third statement says that if y' = 2y, then y = 2e^2x. The fourth statement is also missing information and does not ask a question.
Sam Fuller
) Which one of the following statements is true?
1.1) If y^'=3y. Then y=e^2x .
1.2) If Then y=ce^kx for some constants c≠1 and k≠1.
1.3) If y^'=2y. Then y=2e^2x is .
1.4) If Then y=ce^x for some constant c .

Sam Fuller said:
) Which one of the following statements is true?
1.1) If y^'=3y. Then y=e^2x .
1.2) If Then y=ce^kx for some constants c≠1 and k≠1.
1.3) If y^'=2y. Then y=2e^2x is .
1.4) If Then y=ce^x for some constant c .
1.1 Well, if $$\displaystyle y = e^{2x}$$ then what is y'? Now check to see if y' = 3y.
1.2 Is missing information. There is no question asked here.
1.3 Again, given y, what is y' ?
1.4. Is missing information again.

Please make an attempt to solve these and please get back to us if you get stuck.

-Dan

1. What does it mean when a statement is considered to be true?

When a statement is considered to be true, it means that it accurately reflects reality and can be verified through evidence or logical reasoning.

2. How can I determine if a statement is true or not?

To determine if a statement is true, you can gather evidence, conduct experiments, or use logical reasoning to verify its accuracy.

3. Can a statement be partially true?

Yes, a statement can be partially true if it contains some accurate information but also includes some false information.

4. Is a statement that is widely accepted by the public always true?

No, a statement that is widely accepted by the public may not always be true. It is important to critically evaluate information and not just rely on popular opinion.

5. Can a statement be true at one point in time but not true at another?

Yes, a statement can be true at one point in time but not true at another. This is because new evidence or information may emerge that changes our understanding of a particular topic.

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