Solve the following differential equation with initial value. dr 3t°, x (1) = a dt O ¤ (t) = a + t³ O z (t) a +1+ t³ O r (t) = -1 + a + t³ O z (t) = -8 + a + t³

Calculus: Early Transcendentals
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Solve the following differential equation with initial value.
dz = 3t, r (1) = a
%3D
O x (t) = a + t³
O z (t)
a +1+ t³
O x (t) = -1 + a + t³
O a (t)
-8 + a + t3
Transcribed Image Text:Solve the following differential equation with initial value. dz = 3t, r (1) = a %3D O x (t) = a + t³ O z (t) a +1+ t³ O x (t) = -1 + a + t³ O a (t) -8 + a + t3
Expert Solution
Step 1

we have given

dx/dt= 3t2

And x(1)= a

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