1. Show that a separable differential equation is exact differ- ential equation. Answer:
Classify the equation as separable, linear, exact, or none of these. Note that it is possible for the equation to have more than one classification. xydx + 5dy = 0 Select all that apply. A. Linear B. Exact C. Separable D. None of these
Is the differential equation y' separable? Choose the correct answer below. Ο 0 Νο Yes
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Determine if the differential equation is separable, and if so, separate it. Yes, it is separable, and x3-7x Yes, it is separable, and No, it is not separable. Yes, it is separable, and (x3-7x)r' =y. . O くPrev 4of 8 Saved Solve the Initial Value Problem (IVP) , 2+5x + 7 う y(0) = 6. , 3 152 3.15 2 2 3 152 3 152 Messages Saved Determine whether the differential equation is separable. O Not separable...
The following differential equation is separable as it is of the form = : g(P)h(t). dt dP dt P-p2 Find the following antiderivatives. (Use C for the constant of integration. Remember to use absolute values where appropriate.) See dP g(P) In (Frp + C = x Ane h(t) dt = t-C Solve the given differential equation by separation of variables. In -t=C X
Subject is Differential Equations. Please answer
completely and show all work.
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Identify the equation as separable, linear, exact, or having an integrating factor that is a function of either x or y alone (3x+3x - 3y)dx + (xy? - x-2)dy = 0 Select all that apply. A. has an integrating factor p(x) or p(y) not equal to a constant OB. linear OC. separable D. exact E. none of the above
Identify the equation as separable, linear, exact, or having an integrating factor that is a function of either x or y alone. (4x+3x - 3y)dx + (xy3 – x-2)dy = 0 Select all that apply. A. exact B. has an integrating factor u(x) or (y) not equal to a constant C. linear D. separable E. none of the above
Differential Equations: Check each answer to
prove the answer is correct.
Solve the equation (x+y)dx + xdy = 0 by two different methods: a) by substitution (u = y/x) b) as an exact differential equation. c) show your two answers are equivalent (i.e. differ by a constant)
Solve the following exact differential equation. You don't have to show that it is exact. (ecos(y) - esin(x)) + (esin(x) - e* sin(y)]y' = 0 Solution.
Solve the following Exact Differential EquationSolve the following Exact Differential Equation with boundary value y(-1) = 2Solve the following higher order differential equation given that y(pi/3 ) = 0, y'(pi/3 ) = 2