a )
here
dy/dt = 0
given
dy/dt = - y4 - 2 y3 + 15 y2 = 0
= (- y2)( y2 + 2y - 15 ) = 0
= (- y2) ( y2 - 5y + 3y - 15 ) = 0
= (- y2) [ y ( y - 5 ) + 3 ( y - 5 ) ] = 0
= (- y2) ( y - 5 ) ( y + 3 )= 0
= (- y2) ( y - 5 ) ( y + 3 ) = 0
y = 0 , 0 , 5 , -3
b )
y increases between
- 3 < y < 5
Section 1.1 Direction Fields: Problem 4 Previous Problem Problem List Next Problem (1 point) A function...
Section 1.1 Direction Fields: Problem 9 Previous Problem Problem List Next Problem (1 point) Consider the slope field shown (a) For the solution that satisfies y(0) -0, sketch theEBM solution curve and estimate the following: y(1) A and y(-1) (b) For the solution that satisfies y(0) 1, sketch the solution curve and estimate the following: y(0.5) A t and y(-1) (c) For the solution that satisfies y(0) =-1 , sketch the solution curve and estimate the following: and y(-1) Section...
Problem 1. (1 point) A function y(t) satisfies the differential equation ay = – 44 – 6y2 + 7y?. (a) What are the constant solutions of this equation? Separate your answers by commas. (b) For what values of y is y increasing? <y< Note: You can earn partial credit on this problem.
Ww Chapter 1 Section 1: Problem 4 Previous Problem Problem List Next Problem (1 point) Find all values of m the for which the function y = emx is a solution of the given differential equation. (NOTE: If there is more than one value for m write the answers in a comma separated list.) (1) y” – y – 6y = 0, The answer is m = (2) y" – 3y" – 4y = 0 The answer is m =
Problem List Next Problem Previous Problem (1 point) In this problem we consider an equation in differential form M dx + N dy = 0 (5х + 7у)dx - (7x + 3у)dy %3D0 Find М, If the problem is exact find a function F(x, y) whose differential, dF(x, y) is the left hand side of the differential equation. That is, level curves F(x, y) = C, give implicit general solutions to the differential equation. If the equation is not exact,...
6: Problem 4 Previous Problem List Next (1 point) Consider the differential equation which has a regular singular point at x = O. The indicial equation for x = 0 is rt with roots (in increasing order) ri- Find the indicated terms of the following series solutions of the differential equation: (a) y = x,16+ and rE x+ The closed form of solution (a) is y 6: Problem 4 Previous Problem List Next (1 point) Consider the differential equation which...
HW04: Problem 2 Previous Problem Problem List Next Problem (1 point) Use the "mixed partials" check to see if the following differential equation is exact. If it is exact find a function F(x, y) whose differential, dF(x, y) gives the differential equation. That is, level curves F(x, y) = C are solutions to the differential equation: dy dx = 23 - y 3 + 4y2 First rewrite as M(x,y) dx + N(x,y) dy = 0 where M(x,y) = -1 and...
Provious Problem Problem List Next Problem (1 point) Find the function g(t) that satisfies the differential equation dy 2ty 122e dt and the condition y(0) = 1. y(t) Preview My Answers Submit Answers You have attempted this problem 0 times You have unlimited attempts remaining Email instructor search e
HW 2.4: Problem 3 Previous Problem Problem List Next Problem (1 point) A Bernoulli differential equation is one of the form + P(x)y -- Q(x)y". Observe that, if n = 0 or 1, the Bemoulli equation is linear. For other values of n the substitution -y transforms the Bernoulli equation into the linear equation + (1 - n)P(x)u = (1 - 1)(a). Use an appropriate substitution to solve the equation and find the solution that satisfies y(1) = 1. Preview...
Problem List Previous Problem (15 points) Find the function y(t) that satisfies the differential equation dy 2ty = -15te dt and the condition y(0) = -5. M) =
Section 7.4: Problem 3 Previous Problem Problem List Next Problem (1 point) The following function has a minimum value subject to the given constraint. Find this minimum value. f(x, y) = 6x2 + 4y2, 2x + 16y = 2 fmin = none Preview My Answers Submit Answers You have attempted this problem 2 times. Your overall recorded score is 0%. You have unlimited attempts remaining. Page generated at 07/23/2019 at 08:52pm EDT 1996-2017 theme: math4 I ww version: WeBWork-2.13 pa...