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Find the general solution of the differential equation: y'−4y=te^−2t Use lower case c for the constant in your answer.
Find the general solution of the equation: x '' - 9x '+ 14x = te ^ t (te ^ t means: t times e to t)
1. Find the general solution to the equation y" - y - 2y = -e- 2. Find a particular solution to y" + 4y = 11 sin(2t) + cos(2t) 3. Find the form of a particular solution to be used in the Method of Undetermined Coefficients for the equation y" + 2y' +2y = te-* cost Do not solve the equation
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
Problem 3 (12 points) Find the general solution y(2) of y" – 4y = 2631 using Variation of Parameters Method.
1.Find a general solution to the given differential equation. 21y'' + 8y' - 5y = 0 A general solution is y(t) = _______ .2.Solve the given initial value problem. y'' + 3y' = 0; y(0) = 12, y'(0)= - 27 The solution is y(t) = _______ 3.Find three linearly independent solutions of the given third-order differential equation and write a general solution as an arbitrary linear combination of them z"'+z"-21z'-45z = 0 A general solution is z(t) = _______
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
Last question
10. Find the general solution of the system : 13 Y 11. Find the general solution of the system: y'= ( ) 12. Compute the surface area of a cone of radius r and using surface integrals
Find the general solution to the differential equation: y3 y ' =
t
Find the general solution to the differential equation: y3 y'=t