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Find the homogeneous equation with constant coefficients of least order that has the following as a solution y-2e4* - 3 sin(x) + 2x a) ,15) + 4y“) – y **+ 4y "=0 b) ,S) + (4) + 4y + 4y "=0 c),(s) +49(4) —*- 4 y "=0 a) O „(5) – 4 y14) –»*+ 2y "=0 e) O y(s) +4y14) + y*+ 4y "=0 1) O None of the above.
The general solution of the first order non-homogeneous linear differential equation with variable coefficients \((x+1) \frac{d y}{d x}+x y=e^{-x}, \quad x>-1 \quad\) equalsQ \(y=e^{-x}\left[C\left(x^{2}-1\right)+1\right]\), where \(C\) is an arbitrary constant.None of themQ \(y=e^{x}\left[C\left(x^{2}-1\right)+1\right]\), where \(C\) is an arbitrary constant.\(y=e^{-x}[C(x+1)-1]\), where \(C\) is an arbitrary constant.\(y=e^{x}[C(x-1)+1]\), where \(C\) is an arbitrary constant.
1 6. The general form of a linear, homogeneous, second-order equation with constant coefficients is dy dy form. ns (b) Show that if q关0, then the origin is the only equilibrium point of the sys (c) Show, that if q关0, then the only solution of the second-order equation constant is y(t) = 0 for all 1.
The general solution of the first order non homogeneous linear differential equation with variable dy coefficients (x+1)+zy=e" => -1 equals None of them Oy =é (C(x - 1) + 1), where is an arbitrary constant. Oy=é (C(ZP – 1) + 1). where is an arbitrary constant. Oy=e*10*? - 1) + 1]. where is an arbitrary constart Oy=-*|C(2+1) – 1), where is an arbitrary constant
The general solution of the first order non-homogeneous linear differential dy equation with variable coefficients (x + 1) + xy=e, I > -1 equals dx Oy=e-* [C(x2 - 1) + 1], where is an arbitrary constant. None of them Oy=e* [C(x2 – 1) +1], where is an arbitrary constant. yre *(C(x + 1) - 1], where is an arbitrary constant. Oy=e" (C(x - 1) + 1], where is an arbitrary constant.
2. (Undetermined Coefficients... In Reverse) Find a second order linear equation L(y) = f(0) with constant coefficients whose general solution is: y=C et + Cell + tet (a) The solution contains three parts, so it must come from a nonhomogeneous equation. Using the two terms with undefined constant coefficients, find the characteristic equation for the homogeneous equation (h) Using the characteristic equation find the homogeneous differential equation. This should be the L(y) we're looking for. (c) Since we have used...
Find a second order linear equation L(y) = f(t) with constant coefficients whose general solution is: @ y=Cje24 + C261 + te3t @ (a) The solution contains three parts, so it must come from a nonhomogeneous equation. Using the two terms with undefined constant coefficients, find the characteristic equation for the homogeneous equation. (b) Using the characteristic equation find the homogeneous differential equation. This should be the L(y) we're looking for. (c) Since we have used two terms from the...
For a first order reactiomA-----> B, rate constant k for the reaction follows the equation: ln k= (5000/T) + 13.82 find the frequency factor A and the activation energy Ea
any help is much appreciated!!
Consider the boundary value problem for the general second-order equation with constant coefficients y(a)=YA, y(b)=YB Let the interval a<x<b divided into n subintervals of width h=(b-a)/n.Using central difference approximations find the lineer system that must be solved to approximate y2,y3,,,yn We were unable to transcribe this image01.2 h2 2h We were unable to transcribe this imageProblem 3 boundary value problem for the general second-order equation with constant coefficients dy dy y(a) YA, ybYB. Let the interval a s b be...