If the general solution of (0.603)y" + (-0.87)y, + (0.3 138)y = 0.364x2 is written in...
(1 point) Consider the first order separable equation y' y(y- 1) An implicit general solution can be written in the form e + h(x, y) Find an explicit solution of the initial value problem y(0)3 C where h(z, y) ( y)
2.rezy (15 points) Consider the first order separable equation y An implicit general solution can be written in the form ey +C Find an explicit solution of the initial value problem y(0) = 1 y=
The general solution to equation y" - 2y - 3y=0 is a. y=1e3! + ce- b. y=ce" + ce-1 C. y = c + c2e- d. none of the above
3. Find the general solution of the differential equation y” + 2y' + y = 0 (a) y=ce' +c,e* (b) y= ce" + xe * (c) y = cxe* +c,e* (d) y= ce* +C,xe" (e) y=ce?* +c,e-2 (f) y= c,e + ,xe” (g) y=cxe?* +cze 2 (h) y= c,e + ,xe 21
Find the general solution to the homogeneous differential equationd2ydt2−23dydt+130y=0d2ydt2−23dydt+130y=0The solution can be written in the formy=C1er1t+C2er2ty=C1er1t+C2er2twithr1<r2r1<r2Using this form, r1=r1= and r2=
1. (3pts) Find the general solution for the equation 2xy + y (No y' 4y4 + y2 need to write your solution in the explicit form.) 2. (3pts) Find the general solution of 2,4 = Express the general solution in the explicit form. 3. (4pts) Find the solution of the given initial value problem in explicit form: 3x2 2y – 3 1 y' =
The equation y' 6x2 + 3y2 ту can be written in the form y' = f(y/x), i.e., it is homogeneous, so we can use the substitution u = y/x to obtain a separable equation with dependent variable u= u(x). Introducing this substitution and using the fact that y' = ru' + u we can write (*) as y' = xu'+u = f(u) where f(u) = Separating variables we can write the equation in the form dr g(u) du = where...
(1 point) The equation 3ry2r 2y2 (*) can be written in the form y f(y/x), ie., it is homogeneous, so we can use the substitution u = y/x to obtain a separable equation with dependent variable uu(x. Introducing this substitution and using the fact that y' ru' u we can write () as y xu'w = f(u) where f(u) Separating variables we can write the equation in the form da np (n)6 where g(u) = An implicit general solution with...
Consider the first order separable equation y(1 + 53*) 1/3 An implicit general solution can be written in the form yCf(x) for some function f(x) with an arbitrary constant. Here f(x) Next find the explicit solution of the initial value problem y(0) = 3 y =
The general solution to the differential equation + 2y - 3 y +e-2 y 34 C cos 2 - Ce- y-3- Csin 2x