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QUESTION 6 Determine the general form of the function Mit y) or N(t, y) that will...
Given two functions, M(x, y) and N(x,y), suppose that ON/ that an/az-amay is M-N a function of x +y. That is, let f(t) be a function such that ON _ OM dc du f(x+y) = M-N Assume that you can solve the differential equation Mdx + Ndy = 0 by multiplying by an integrating factor u that makes it exact and that it can also be written as a function of x + y, u = g(x + y) for...
(15 points) In this problem we consider an equation in differential form M dx + N dy = 0. (- (4xy2 + 4y)) dx +(- (4x²y + 4x))dy = 0 Find My N. 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(t, y) = C, give implicit general solutions to the differential equation. If the equation is not exact, enter NE...
(1 point) In this problem we consider an equation in differential form M d.c + N dy=0. The equation (42 +3=”y 2) dx + (422.1, + 3)dy=0 y in differential form ñ dx + Ñ dy=0 is not exact. Indeed, we have Ñ , -Ñ , For this exercise we can find an integrating factor which is a function of y alone since Ñ , - Ñ , M is a function of y alone. Namely we have (y) =...
Question 2: (20 points) Consider the function signum Find the general global solution of the differential equation y" + (sgn x)y - 0. N.B. The general global solution is a function y: RR that is twice differentiable and verifies the differential equation (1) on R. Question 2: (20 points) Consider the function signum Find the general global solution of the differential equation y" + (sgn x)y - 0. N.B. The general global solution is a function y: RR that is...
I need help with these! 3. (1 point) a) Compute the general solution of the differential equation y"5 12y" 0 b) Determine the test function Y (t) with the fewest terms to be used to obtain a particular solution of the following equation via the method if undetermined coefficients. Do not attempt to determine the coefficients.5y 12y"2 10e-tesin(V3t) Spring 2011) 4. (1 point) Compute the general solution of the following differential equations dz dy dt ii)(1y iv) (z cos(y) +...
(1 point) In this problem we consider an equation in differential form M dx + N dy=0. (6x + 6y)dx – (6x + 4y)dy = 0 Find My = N = If the problem is exact find a function F(x,y) whose differential, F(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, enter NE otherwise find F(x,y)...
In this problem we consider an equation in differential form M dx + N dy = 0. (4x4 + 2y) dx +(- (2x + y2))dy = 0 Find My Nx = = 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) solutions to the differential equation. C, give implicit general If the equation is not exact, enter NE otherwise find...
General form: Z(V)=0.5692-(4.50x10^(-4)T) -(9.5x10^(-6)(T^2)) The polynomial regression of the potential of a certain cell as a function of T (Celsius) has the following general form. DetermineAG, AH and AS at 25Celsius and explain if the reaction occurring in said cell is spontaneous. Electrochemistry of a cell ADE UNA CELDA n polinómica del potencial de cierta celda como función de TC C tiene la n que ocurre en dicha celda es espontánea. o puntos) forma general: r(V) = 0.5692-4.50 x 1。T....
(1 point) In this problem we consider an equation in differential form M dx + N dy = 0. (4x4 + y) dx + (x - y)dy = 0 Find My = Nx = If the problem is exact find a function F(x, y) whose differential, d F(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,...
Consider the differential equation: d y 6y--6 exp-2). d t 6.1 (1 mark) Find a solution of the form y(t) - Cp exp(-2t) for this differential equation, and enter the value of Cp below. You have not attempted this yet 6.2 (1 mark Any solution yh of d yh d t is of the form C exp(r t) for an appropriate value of r. What r? Remark. The general solution of the differential equation labelled (1) above is y(t) ....