(1 point) Find the general solution of the differential equation x' + 6x = e-41 x=...
(1 point) Find the general solution to the differential equation y' = x tan(y) y = help (formulas) Use the letter "C" for any constant of integration.
1) Write a differential equation describing this system. This means find the equation of the line in the graph. df ar= 1x-80 2) Find the general solution to this differential equation. Find the function f(x) whose derivative is the equation of the line graphed. The solution is: f(r) -.5x 2-80x 3) Now given that function f(x) includes the point (0, 100) find the exact solution of the differential equation found in 1). In addition to general solution you will have...
(1 point) a. Find a particular solution to the nonhomogeneous differential equation y" + 3y - 10y = ex. yp = help (formulas) b. Find the most general solution to the associated homogeneous differential equation. Use cy and c2 in your answer to denote arbitrary constants, and enter them as c1 and c2. Yh = help (formulas) c. Find the most general solution to the original nonhomogeneous differential equation. Use cy and C2 in your answer to denote arbitrary constants....
Find the general solution of the following differential equation. Primes denoto derivatives with respect to x. x(5x + y + y(15x + y) = 0 The general solution is (Type an implicit general solution in the form F(x,y)=C, where is an arbitrary constant. Do not explicitly include arguments of functions in your answer)
The general solution of the first order non-homogeneous linear differential dy equation with variable coefficients (x + 1) + xy=e, I > -1 equals dx Oy=e-* [C(x2 - 1) + 1], where is an arbitrary constant. None of them Oy=e* [C(x2 – 1) +1], where is an arbitrary constant. yre *(C(x + 1) - 1], where is an arbitrary constant. Oy=e" (C(x - 1) + 1], where is an arbitrary constant.
(1 point) The general solution of the homogeneous differential equation can be written as 2 where a, b are arbitrary constants and is a particular solution of the nonhomogeneous equation By superposition, the general solution of the equation 2y 5ryy 18z+1 isyp so yax-1+bx-5+1+3x NOTE: you must use a, b for the arbitrary constants. Find the solution satisfying the initial conditions y(1) 3, y'(1) 8 The fundamental theorem for linear IVPs shows that this solution is the unique solution to...
1.6.12 Find the general solution of the following differential equation. Primes denote derivatives with respect to x. 5xyy' = 5y2 + 4x 18x2 + y2 For x, y>0, a general solution is (Type an implicit general solution in the form F(x,y) = C, where C is an arbitrary constant. Type an expression using x and y as the variables.)
Find a general solution to the differential equation. y" - y = - 13t+4 The general solution is y(t) = (Do not use d, D, E, E, I, or I as arbitrary constants since these letters already have defined meanings.)
Find a particular solution to the nonhomogeneous differential equation ?′′+4?′+5?=10?+?−? y ′ ′ + 4 y ′ + 5 y = 10 x + e − x . ??= y p = help (formulas) Find the most general solution to the associated homogeneous differential equation. Use ?1 c 1 and ?2 c 2 in your answer to denote arbitrary constants, and enter them as c1 and c2. ?ℎ= y h = help (formulas) Find the most general solution to the...
Find a general solution to the differential equation. y'' - y= - 19t + 6 The general solution is y(t) = (Do not use d, D, e, E, I, or I as arbitrary constants since these letters already have defined meanings.)