Find the particular solution of the differential equation that satisfies the initial condition. f'(x) = 9x, f(0) = 6 Step 1 To solve the differential equation, integrate integrate both sides with respect to x Step 2 Obtain the integral on both sides. 1x) dx dx = f(x) = + C

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Find the particular solution of the differential equation that satisfies the initial condition.
f'(x) = 9x,
(0) = 6
Step 1
To solve the differential equation, integrate
integrate both sides with respect to x
Step 2
Obtain the integral on both sides.
/-
f'(x) dx =
dx
(x) =
+ C
Transcribed Image Text:Find the particular solution of the differential equation that satisfies the initial condition. f'(x) = 9x, (0) = 6 Step 1 To solve the differential equation, integrate integrate both sides with respect to x Step 2 Obtain the integral on both sides. /- f'(x) dx = dx (x) = + C
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