Question

Verify that $y = 3\sin x - 2\cos x$ is a solution to $3\frac{dy}{dx} - 2y = 13\cos x$.

Name: verify that y 3sin x 2cos x is a solution to 3fracdydx 2y 13cos x 75958
Uploaded: 2022-06-07T09:32:04-08:00
Duration: 3 min 58 s
Channel: Shaiju T
Description: verify that y 3sin x 2cos x is a solution to 3fracdydx 2y 13cos x 75958

          Verify that $y = 3\sin x - 2\cos x$ is a solution to $3\frac{dy}{dx} - 2y = 13\cos x$.

$verify that y 3sin x 2cos x is a solution to 3fracdydx 2y 13cos x 75958$

Added by Joshua J.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Shaiju T

06/07/2022

Step 1

$$y = 3\sin x - 2\cos x$$ $$\frac{dy}{dx} = \frac{d}{dx}(3\sin x - 2\cos x) = 3\cos x + 2\sin x$$ Show more…

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Verify that $y = 3\sin x - 2\cos x$ is a solution to $3\frac{dy}{dx} - 2y = 13\cos x$.

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Verify that $y = 3\sin x - 2\cos x$ is a solution to $3\frac{dy}{dx} - 2y = 13\cos x$.

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