Find a particular solution yp of the following equation. Primes denote the derivatives with respect to...
Find the general solution of the following differential equation. Primes denote derivatives with respect to x. 30xy?y' = 210x3 + 30y3
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 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)
Find a particular solution, yp(x), of the non-homogeneous differential equation d2 +y(x) = 6 ((x)) +9 y(x) = 6 x+2, d x2 given that yh(x) = A e3x +B x @3x is the general solution of the corresponding homogeneous ODE. The form of yp(x) that you would try is Oyp = ax + b Oyp = a 2x Oyp = ax2 3x Enter your answer in Maple syntax only the function defining yp(x) in the box below. For example, if...
please give the correct answer with explanations, thank you Find a particular solution, yp(), of the non-homogeneous differential equation d2 y (2) +6 (de y(x)) +9y (x) = -12 , d22 given that yn (r) = A e-31+B 1 e 30 is the general solution of the corresponding homogeneous ODE. The form of yp() that you would try is Yp = ax + 6 yp = 2040 O yp=0x2-32 Enter your answer in Maple syntax only the function defining yp()...
7. (10 points) Find a particular solution yp(t) to the nonhomogeneous equation ty + y - y = 24t*, t> 0, given the fact that the general solution of the associated homogeneous equation is yn(t) = cit + cat-, C1, C2 E R
A nonhomogeneous equation and a particular solution are given. Find a general solution for the equation. 5 y'' = 2y + 5 cotºx, yp(x) = 3 cotx The general solution is y(x) = (Do not use d, D, E, E, I, or as arbitrary constants since these letters already have defined meanings.)
A nonhomogeneous equation and a particular solution are given. Find a general solution for the equation. 5 y"' = 2y +5 tan ºx, yp(x) = tan x The general solution is y(x) = (Do not use d, D, e, E, I, or las arbitrary constants since these letters already have defined meanings.)
Find the particular solution to the equation y''+25y=sec(5x) You may omit absolute value signs. yp(x)=
A nonhomogeneous equation and a particular solution are given. Find a general solution for the equation. y" + 5y + 6y = 24x2 + 40x +8+ 12 e*. Yp(x)= e* + 4x? The general solution is y(x) = 0 (Do not use d, D, e, E, I, or las arbitrary constants since these letters already have defined meanings.)