WebFactorise : 2y 3+y 2−2y−1 Medium Solution Verified by Toppr Was this answer helpful? 0 0 Similar questions factorize n 3+3n 2y+3ny 2+y 3−8 Easy View solution > Factorise x … WebFind a particular solution to the differential equation 3y′′−2y′−1y=−2t2−1t This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. See Answer Question: Find a particular solution to the differential equation 3y′′−2y′−1y=−2t2−1t

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WebThe corresponding homogeneous equation is y′′− 2y′− 3y = 0 . Its characteristic equation is r2− 2r − 3 = 0 , which factors as (r +1)(r −3) = 0 . So r = −1 and r = 3 are the possible values of r , and yh(x) = c1e−x+ c2e3x is the general solution to the corresponding homogeneous differential equation. Webfind the solution of the given initial value problem.y” + 4y = 3 sin 2t, y (0)=2, y' (0) = −1 differential equations (a) Draw a direction field for the given differential equation. (b) Based on an inspection of the direction field, describe how solutions behave for large t. forerunner 245 not connecting to phone

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WebFactorize 2 y 3 + y 2-2 y-1. First, take out the common terms. 2 y 3 + y 2-2 y-1 = y 2 (2 y + 1)-1 (2 y + 1) = (2 y + 1) (y 2 – 1) = (2 y + 1) (y 2 – 1 2) = 2 y + 1 y + 1 y-1 [∴ a 2-b 2 = a … Weby = g0(y) = 2y −2 = N In that case, g(y) = y2 −2y, and f(x,y) = x2 +3x+y2 −2y. The implicit solution is: x2 +3x+y2 −2y = C 2. Problem 3: (3x2 −2xy +2)dx+(6y2 −x2 +3)dy = 0 Check to see if the equation is exact: M y = −2x N x = −2x So yes. Now we’ll antidifferentiate M with respect to x: f(x,y) = Z M dx = Z 3x2 −2xy +2dx ... WebLet p(y) = 2y 3 + y 2 − 2y − 1. By trial method, p(1) = 2(1) 3 + (1) 2 − 2( 1) − 1 = 2 + 1 − 2 − 1 = 0. Therefore, y − 1 is a factor of this polynomial. Let us find the quotient on dividing 2y 3 + y 2 − 2y − 1 by y − 1. p(y) = 2y 3 + y … forerunner 245 music vs vivoactive 4