2 a) Find the particular solution for y' - 2y' + y = 6e' b) Find y, for y' + 3y' - 36x² + 8e-> JT JT c)Find the general solution y(x) = y, + Ay, (x) + Byz(x),and solve IV y + 4y = 2 sin2t, y
Find the complete solution of the following differential equation. dy+y=6e-2t cos 4t, y(0) =0.
Find the general solution of the equation:
y'' + 5y = 0
Find the general solution of the equation and use Euler’s
formula to place the solution in terms of trigonometric
functions:
y'''+y''-2y=0
Find the particular solution of the equation:
y''+6y'+9y=0
where
y1=3
y'1=-2
Part 2: Nonhomogeneous
Equations
Find the general solution of the equation using the method of
undetermined coefficients:
Now find the general solution of the equation using the method
of variation of parameters without using the formula...
dy 2. Find the general solution of -y+e"y dv -6xy 3. Find the general solution of t dr 4y+9x2 dy dx Find the general solution of бх2e" + 4y. 4. 5. Find the general solution of dr (y +2) dy 5x +4y Find the general solution of dx 8y3 d By'-4x
find the particular solution and general solution of the equation
y''''+y'''=e^(2x)
[25] Find a particular solution and the general solution of the equation y(4) + y = 220
Question 7 Find the general solution of the given differential equation. y" +2y' +5y=0
Find the solution of the initial value problem y′′+4y=t^2+6e^t, y(0)=0, y′(0)=5. Enter an exact answer. Enclose arguments of functions in parentheses. For example, sin(2x).
Find the general solution to the differential equation: y3 y ' =
t
Find the general solution to the differential equation: y3 y'=t
Find the general solution of the second order constant coefficient
linear ODEs
7. Find the general solution of the second order constant coefficient linear ODE. (a) y" +2y = 0 (b) 2y" – 3y +y=0 (c) y" – 2y – 2y = 0 (d) y" – 2y + 2y = 0 (e) y" + 2y - 8y = 0 (f) y" +9y=0 (g) y" – 4y + 4y = 0 (h) 25y" – 10y' +y=0
Use variation of parameters to find a particular solution to the given DE -3pt 11.)y" - 2y'+y- tet 13.) y'', + 4y'--8 [cos (2t) + sin(2t)] 15.) хту-xy' + y = x3 6e
Use variation of parameters to find a particular solution to the given DE -3pt 11.)y" - 2y'+y- tet 13.) y'', + 4y'--8 [cos (2t) + sin(2t)] 15.) хту-xy' + y = x3 6e