)A Bernoulli differential equation is one of the form dy + P(x)y = Q(x)y" (*) dx : 0 or 1, the Bernoulli equation is linear. For other values of n, yl-n transforms the Bernoulli equation into the linear equation Observe that, if n the substitution u du + (1 — п)Р(«)и — (1 — п)Q(»). dx Consider the initial value problem xy' + y = –3xy², y(1) = –1. (a) This differential equation can be written in the form (*) with P(x) = Q(x) = , and n = (b) The substitution u = will transform it into the linear equation du U = dx (c) Using the substitution in part (b), we rewrite the initial condition in terms of x and и: u(1) =

Q: Q.2) The basts of the equatioon y'' + y" = 0,are: b) 1,1.e a) 1,1.e c) 1, x,e²* d) 1,x.e" 0 about

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A: Thanks for the question :)And your upvote will be really appreciable ;)

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.