Question

Find the particular solution for the differential equation $$\frac{dy}{dx} = \frac{2x^3}{3y}$$ at $$y(0)=3.$$ Choose the correct answer below. A. $$y = \frac{1}{3}x^4 + 3$$ B. $$y = 3x^3 + 3$$ C. $$y^2 = 3x^3 + 9$$ D. $$y^2 = \frac{1}{3}x^4 + 9$$

Name: find the particular solution for the differential equation fracdydx frac2x33y at y03 choose the correct answer below a y frac13x4 3 b y 3x3 3 c y2 3x3 9 d y2 frac13x4 9 84403
Uploaded: 2023-02-26T19:57:33-08:00
Duration: 1 min 14 s
Channel: Sri K
Description: find the particular solution for the differential equation fracdydx frac2x33y at y03 choose the correct answer below a y frac13x4 3 b y 3x3 3 c y2 3x3 9 d y2 frac13x4 9 84403

          Find the particular solution for the differential equation $$\frac{dy}{dx} = \frac{2x^3}{3y}$$ at $$y(0)=3.$$
Choose the correct answer below.
A. $$y = \frac{1}{3}x^4 + 3$$
B. $$y = 3x^3 + 3$$
C. $$y^2 = 3x^3 + 9$$
D. $$y^2 = \frac{1}{3}x^4 + 9$$

$find the particular solution for the differential equation fracdydx frac2x33y at y03 choose the correct answer below a y frac13x4 3 b y 3x3 3 c y2 3x3 9 d y2 frac13x4 9 84403$

Added by Laura K.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Sri K

02/26/2023

Step 1

Step 1: Separate variables: $\dfrac{dy}{dx}=\dfrac{2x^3}{3y}\Rightarrow y\,dy=\dfrac{2}{3}x^3\,dx$. Show more…

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Find the particular solution for the differential equation $$\frac{dy}{dx} = \frac{2x^3}{3y}$$ at $$y(0)=3.$$ Choose the correct answer below. A. $$y = \frac{1}{3}x^4 + 3$$ B. $$y = 3x^3 + 3$$ C. $$y^2 = 3x^3 + 9$$ D. $$y^2 = \frac{1}{3}x^4 + 9$$