webwork / math315 may2019 73713 3: Problem 13 Previous Problem List Next 1 point) Solve the equation leaving your answer in implicit form. The solution is where C is a constant of integration. No...
3: Problem 4 Previous Problem List Next (1 point) Consider the implicit differential equation (15y +56xy)dx (36ry 64x2 )dy0 Show that xpy! is an integrating factor of this equation where p = and q = Now multiply the equation by the integrating factor xy that you have found and then integrate the resulting equation to get a solution in implicit form. where C is a constant of integration. Note that credit is only given if your third answer is obtained...
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,...
Homework Two: Problem 17 Previous Problem Problem List Next Problem fy (1 point) The general solution to the second-order differential equation dt2 y(x) = e" (c, cos Bx + ca sin ßx). Find the values of a and B. where ß > 0. - 2x+8y = 0 is in the form Answer: a = and p = Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 0 times. You have...
HW06: Problem 2 Previous Problem Problem List Next Problem (1 point) The equation бх? + Зу (*) ху can be written in the form y = f(y/x), i.e., it is homogeneous, so we can use the substitution u = equation with dependent variable u = u(x). yx to obtain a separable Introducing this substitution and using the fact that y xu' +u we can write (*) as = У = xu' u = f(u) where f(u) Separating variables we can...
Previous Problem Problem List Next Problem (1 point) Note WeBWork will interpret acos(z) as cos (z), so in order to write a times cos(z) you need to type a cos(z) or put a space between them. The general solution of the homogeneous differential equation can be written as e-acos(x)+bsin(z) where a, b are arbitrary constants and 1r is a particular solution of the nonhomogeneous equation By superposition, the general solution of the equation y" + ly-2ez is บ-Uc + so...
Assignment 7: Problem 9 Previous Next Problem List (1 point) Sketch the region of integration and evaluate by changing to polar coordinates: 12 rf) 1 y dx V +y J6 For f(x) = V12x- Answer: 6sgrt3-2p Submit Answers Preview My Answers You have attempted this problem 3 times. Your overall recorded score is 0%6. You have 2 attempts remaining. Email Instructor Assignment 6: Problem 9 Problem List Next Previous (1 point) Set up a double integral in rectangular coordinates for...
Previous Problem Problem List Next Problem (1 point) Solve the equation y' + 576y = e2x where y(0) = ý (0) = y(x) = Preview My Answers Submit Answers
2.6 Implicit Differentiation: Problem 9 Previous Problem Problem List Next Problem (1 point) Find an equation of the line tangent to the curve defined by x2 + 6xy + y4 = 17 at the point (2, 1). y=
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...