Find the general solution of the following equation. Express the solution explicitly as a function of...
Find the general solution of the following equation. Express the solution explicitly as a function of the independent variat dx =y (8x? +1) y=
Find the general solution of the following equation. Express the solution explicitly as a function of the independent variable. x=y(8x2 + 1) y=0
Find the general solution of the following equation. Express the solution explicitly as a function of the independent variable. 23 - y2 y' (t) sect = 22 y(t) = (Use a comma to separate answers as needed.)
7 of 14 (3 comple Find the general solution of the following equation. Express the solution explicitly as a function of the independent variable x dx = VW(2x+1) w(x) =
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
2. Show that the differential equation below is exact and find the general solution. (2xy + 2 y) dx + (2x+y+2x)dy-0
Find the general solution for the differential equation. x dy/dx + 3y = 4x2 – 3x; x>0 y=_______
1. Determine the solution to the following differential equation (implicit if necessary): 2. Determine the general solution, y(x), to the following differential equations [use synthetic division to solve a), b), and d)]. Show all your work dx3dx2 dx b)@y-4ーー3을y+18y = 0 d2 dx2 dx3 dx dx2 dx + 2-10 dy, dy _ y = 0 dx dx x f) χ +dy=kx where k is a constant dx2 dx
Find
the general solution of the following non-homogeneous differential
equation d 2 y dt2 + 2 dy dt + y = sin (2t). (2) Now, let y(t) be
the general solution you find, when happen if we take lim t→+∞
y(t)?
2. Find the general solution of the following non-homogeneous differential equation dy dy sin (2t) (2) 2 +y= dt dt2 Now, let y(t) be the general solution you find, when happen if we take lim y(t)? t-++oo
Find the stable equilibrium solution of the following differential equation: + y - 1 = e2( y − 1). The stable equilibrium solution is y = Check Find the general solution to the differential equation: x + y - x115 = 0. Answer: y(x) = Check Solve the initial-value problem: dy = e ** - y, yO= dx Answer: y(x) = Check