The DE is of the form dy/dx = f(Ax + Bx + C) dy/dx = 4 + sqrt(y-4x+5) Solve the given differential equation by using the appropriate substitution. which is given in (5) of Section 2.5.
The DE is of the form dy/dx = f(Ax + Bx + C) dy/dx = cos(x+y), y(0) = pi/3 Solve the given differential equation by using the appropriate substitution. which is given in (5) of Section 2.5.
Solve the given differential equation using method of undetermined coefficients y'' + 2y = -18x^2 e^2x Find the complementary function for the differential equation. Yx(x) = Find the particular solution for the differential equation. yp(x) Find the general solution for the differential equation. Y(x) =
1 + 5x - 6x^3 Find a linear differential operator that annihilates the given function. (Use D for the differential operator.)
1 + 5e^9x Find a linear differential operator that annihilates the given function. (Use D for the differential operator.)
cos(2x) Find a linear differential operator that annihilates the given function. (Use D for the differential operator.)
9x + 12x^2 - sin(4x) Find a linear differential operator that annihilates the given function. (Use D for the differential operator.)
4+e^x cos(3x) Find a linear differential operator that annihilates the given function. (Use D for the differential operator.)
Solve the given differential equation using method of undetermined coefficients y'' + y' + y = xsin(x)
Use Definition 7.1.1. DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t > 0. Then the integral script L{f(t)} = 0 inf e-stf(t) dt is said to be the Laplace transform of f, provided that the integral converges. Find script L{f(t)}. (Write your answer as a function of s) f(t) = -1, 0 < t < 1 1, t > 1