Find the particular solution to the equation
y''+25y=sec(5x)
You may omit absolute value signs.
yp(x)=
Find the particular solution to the equation y''+25y=sec(5x) You may omit absolute value signs. yp(x)=
Consider the ODE below. y' + 364 = sec(62) Find the general solution to the associated homogeneous equation. Use C1 and C2 as arbitrary constants. y(2) Use variation of parameters to find a particular solution to the nonhomogeneous equation. State the two functions vi and U2 produced by the system of equations. Let vi be the function containing a trig function and V, be the function that does not contain a trig function. You may omit absolute value signs and...
Consider the ODE below. y' + 4y sec(22) Find the general solution to the associated homogeneous equation. Use ci and C2 as arbitrary constants. y(2) Use variation of parameters to find a particular solution to the nonhomogeneous equation. State the two functions Vi and U2 produced by the system of equations. Let vi be the function containing a trig function and U2 be the function that does not contain a trig function. You may omit absolute value signs and use...
Find a particular solution, yp(x), of the non-homogeneous differential equation d2 +y(x) = 6 ((x)) +9 y(x) = 6 x+2, d x2 given that yh(x) = A e3x +B x @3x is the general solution of the corresponding homogeneous ODE. The form of yp(x) that you would try is Oyp = ax + b Oyp = a 2x Oyp = ax2 3x Enter your answer in Maple syntax only the function defining yp(x) in the box below. For example, if...
Find a particular solution yp of the following equation. Primes denote the derivatives with respect to X. y (5) + 7y(4) - y = 15 The particular solution is yp(x) = 0
please give the correct answer with explanations, thank you Find a particular solution, yp(), of the non-homogeneous differential equation d2 y (2) +6 (de y(x)) +9y (x) = -12 , d22 given that yn (r) = A e-31+B 1 e 30 is the general solution of the corresponding homogeneous ODE. The form of yp() that you would try is Yp = ax + 6 yp = 2040 O yp=0x2-32 Enter your answer in Maple syntax only the function defining yp()...
use variation of parameters to find a particular solution yp(x) y" + 6y + 8y = e2x dx + y2() San f(x)y2(x) f(x)yı(2) Recall that, yp(x) = -41(x) dr. aW(41, 42) aW(41, 42) If you use the method of undetermined coefficients you will receive zero credit.
Find the explicit particular solution of the differential equation for the initial value provided. y = 5x^y-y, y(1)= -9 The explicit particular solution of the differential equation is y=[.
Proceed as in this example to find a particular solution y(x) of the given diferential equation in the Integral formy.(x) = f* 3- / Gx, 0) G(x, t) (1) dt. y" + 25y = f(x) Y(X) LO Dres dt
7. (10 points) Find a particular solution yp(t) to the nonhomogeneous equation ty + y - y = 24t*, t> 0, given the fact that the general solution of the associated homogeneous equation is yn(t) = cit + cat-, C1, C2 E R
y = 3x0+ QUESTION 2 Solve the given differential equation. (The form of yp is given D2y + 25y = -5 sin 5x (Let y p = Ax sin 5x + Bx cos 5x.) sin 5x + c2 cos 5x + x sin 5x - 1 x cos 5x Oo oo cos 5x + = x cos 5x y = C1 sin 5x + C2 cos 5x + 5x sin 5x y = C1 sin 5x + C2 cos 5x...