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question2 Find the of the equation general solution dy - 4x3y²-3x²y dy x22xHy Show transcribed image...
Find the general solution for the differential equation. x dy/dx + 3y = 4x2 – 3x; x>0 y=_______
Obtain the general solution to the equation. dy (x2+4) + xy - 3x = 0 dx The general solution is y(x) = ignoring lost solutions, if any.
4. a) Find the general solution of the Cauchy-Euler equation 4x3y" - 4x2y"+3xy 0 b) Use the variation of parameters to find the general solution of 4x3y"-4x2y, + 3x/ = 6x7/2
The general solution of the equation y 9y = 0 is y cicos(3x) C2sin(3x). Find values of ci and c2 so that y(0) = 0 and y' (0) = -6 C1 C2 Plug these values into the general solution to obtain the unique solution.
Sketch a few solutions of the differential equation on the slope field and then find the general solution analytically. dy 3-y ах WNAHRI -2 2 A) y-Cln(3-y) B) y-3+Ce D) y Cln(y-3) E) y 3x+Ce "Х Sketch a few solutions of the differential equation on the slope field and then find the general solution analytically. dy 3-y ах WNAHRI -2 2 A) y-Cln(3-y) B) y-3+Ce D) y Cln(y-3) E) y 3x+Ce "Х
1. Obtain the general solution to the equation dy (x2 + 2) ?+ xy - 3x = 0 dx
5. Find the general solution of the Bernoulli equation CO dy - y = e2xy3
Find a general solution to the given Cauchy-Euler equation for t> 0. 2d²y dy +41 - 10y = 0 dt at² The general solution is y(t) =
1) Separate variables and find the particular solution of the differential equation x2 dy = y dx if y = 1 when x = 1. -1 - + 2 A) In y = =-- + 2 or y=e B) In y = ln x2 or y = x2 A) in y=- +2 or y=e**2 C) In y=-1+1 or w ts - +1 In y = -— +1 or y=e D) 4+2 or y= 2: 2) Find the general solution of...
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