Solve the initial value problem:xy + y²x²y' ="y(-1)by following the steps:Y(1) make the substitution u =6and simplify theXequation. Caution - calculate u' carefully!!(2) notice that the new equation is separable andsolve for u(3) reverse the substitution to solve for y(4) use the initial condition to solve for the constantof integrationy(x) =Note that we've been given an intial value of the formy(a) = b where a < 0, so this only determines asolution corresponding to the left half of the graph ofIn(|x|), i.e., the part of the graph corresponding tonegative values of x. Therefore, we should writeIn(-x) instead of ln(|x|), since the left half of thegraph is not determined by the initial condition given.

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y' = xy + y² x² " y(−1) g the steps: e substitution u = - 6 Y and simpl X aution - calculate u' carefully!! hat the new equation is separab the substitution to solve for y initial condition to solve for the on we've been given an intial value here a < 0, so this only determ responding to the left half of th the part of the graph correspo

y' = xy + y² x² " y(−1) g the steps: e substitution u = - 6 Y and simpl X aution - calculate u' carefully!! hat the new equation is separab the substitution to solve for y initial condition to solve for the on we've been given an intial value here a < 0, so this only determ responding to the left half of th the part of the graph correspo

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.1: Tables And Trends

Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...

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