Advanced Placement Calculus 2016 Graphical Numerical Algebraic Fifth Edition Student Edition
5th Edition
ISBN: 9780133311617
Author: Prentice Hall
Publisher: Prentice Hall
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It can be helpful to classify a differential equation, so that we can predict the techniques that might help us to find a function which solves the equation. Two classifications are the order of the equation -- (what is the highest number of derivatives involed) and whether or not the equation is linear. Linearity is important because the structure of the family of solutions to a linear equation is fairly simple. Linear equations can usually be solved completely and explicitly. Determine whether or not each equation is linear
for 2 3 and 4 it is also based on the drop down menu (in the picture)
It can be helpful to classify a differential equation, so that we can predict the techniques that might help us to find a function which solves the equation. Two classifications are the order of the equation --
(what is the highest number of derivatives involved) and whether or not the equation is linear.
Linearity is important because the structure of the the family of solutions to a linear equation is fairly simple. Linear equations can usually be solved completely and explicitly. Determine whether or not each
equation is linear:
2
?
?
2
V
1. y" -y + y² = 0
2
3.
d²y
+ sin(t + y) = sint
dt²
d¹y d³y d²y dy
+ +
dt4 dt³ dt² dt
d²y dy
dt
dt²
4. (1+²) +t
+ = 1
+y=et
It can be helpful to classify a differential equation, so that we can predict the techniques that might help us to find a function which solves the equation. Two classifications are the order of the equation -- (what is the highest number of derivatives involved) and whether or not the equation is linear .Linearity is important because the structure of the the family of solutions to a linear equation is fairly simple. Linear equations can usually be solved completely and explicitly. Determine whether or not each equation is linear:
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- Think of situation or phenomena wherein you think it can be modelled through a Differential Equation. From there, identify the dependent and independent variables and develop a simple differential equation. Explain (written or mathematical) your mathematical model on how the variables are related and what are your assumptions to it.arrow_forwardPlease help me answer this question. Thank you!arrow_forwardI need help with question 15 in Section 3.5, page 215, of the James Stewart Calculus Eighth Edition textbook.arrow_forward
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