Problem 22. Find the general solution to the Cauchy problem in implicit form (t sin(y)y' =...
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) =
Find the general solution
4. Find the general solution in (0,00) to the Cauchy-Euler Equation z?y" + xy - y = 204
Find a general solution to the given Cauchy-Euler equation for t> 0. 12d²y dy + 2t- dt - 6y = 0 dt² The general solution is y(t) =
Find the general solution of the equation y" + 361y = 0. y(t) = C1 cos 19t + c2 sin 19t o o o o y(t) = ci cos t-cı sin t y(t) = ci cos t+ c2 sin 19t y(t) = cı cos 19t+ c2 sin t
Use the method of variation of parameters to find the general solution y(t) to the given differential equation y" + 25y = sec (5t) Oy(t) = ci cos(5t) + c2 sin(5t) tan(5t) + 25 sec(26) 25 y(t) = c cos(5t) + c sin(5t) 1 sec(56) + 50 1 25 tan(5t) sin(5t) VC) = so 1 sec(5t) + 50 1 tan(5t) sin(5t) 25 1 y(t) = ci cos(5t) + c) sin(5t) 2. sec(54) + tan(56) sin(56) 50 O y(t) = C1...
(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)
Find a general solution to the given Cauchy-Euler equation for t> 0. 12 2d²ydy + 40 - 10y = 0 dt dt The general solution is y(t) = 0
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=
Find the general solution of the equationFind the general solution of the equationFind the general solution of the equationFind the general solution of the equation 2 cos(3x) - sin(3x) = 22 cos(3x) − sin(3x) = 22 cos(3x) − sin(3x) = 22 cos(3x) − sin(3x) = 2
Part A is already done.
_ [2 sin(t) o (0)-5.5 a. Form the complementary solution to the homogeneous equation e(-t) 5e (t) + c2 en(-t) en(t) b. Construct a particular solution by assuming the form p(t) (sin t)ã + (cos t)band solving for the undetermined ja + (cost)¡ and solving for constant vectors ã and B. Ep(t)- c. Form the general solution ¢(t) (t) + zp(t) and impose the initial condition to obtain the solution of the initial value problem...