Which one is false? If the auxiliary equation of the homogeneous linear differential equation has distinct real and unreal roots m_1,m_2,and m 3=azbi, then the solution is given by y=c_1 e^(m_1 x)+c_2 e^(m_2 x)+c_3 e^ax cosbx+c_4 e*ax sinbx. For the earth, the velocity of escape is 6.95 miles/sec. O The radius of the earth is approximately 3960 miles. In the study of Isaac Newton in 17th century regarding on the law of cooling, he found out that if there is a less than 20 degrees difference between two objects the rate of heat loss is proportional to the temperature difference.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Which one is false?
If the auxiliary equation of the homogeneous linear differential equation has distinct
O real and unreal roots m_1,m_2,and m_3=a±bi, then the solution is given by y=c_1
e(m_1 x)+c_2 e^(m_2 x)+c_3 e*ax cosbx+c_4 e*ax sinbx.
For the earth, the velocity of escape is 6.95 miles/sec.
The radius of the earth is approximately 3960 miles.
In the study of Isaac Newton in 17th century regarding on the law of cooling, he found
out that if there is a less than 20 degrees difference between two objects the rate of
heat loss is proportional to the temperature difference.
Transcribed Image Text:Which one is false? If the auxiliary equation of the homogeneous linear differential equation has distinct O real and unreal roots m_1,m_2,and m_3=a±bi, then the solution is given by y=c_1 e(m_1 x)+c_2 e^(m_2 x)+c_3 e*ax cosbx+c_4 e*ax sinbx. For the earth, the velocity of escape is 6.95 miles/sec. The radius of the earth is approximately 3960 miles. In the study of Isaac Newton in 17th century regarding on the law of cooling, he found out that if there is a less than 20 degrees difference between two objects the rate of heat loss is proportional to the temperature difference.
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