The solution of PDE, d²u ax d²u d'u -2. + -= cos(2x+3y) is oxdy dy (A) z=0(y-x)+ xy(y-x)- cos (2x+3y) (B) z=0(y+x)+xy(y+x)+cos (2x+3y) (C) z=0(y+x)+xy(y+x) −cos (2x+3y) (D) z = (y+x) + y(y-x)—cos (2x+3y)

Q: Determine a suitable form for Y(t) if the method of undetermined coefficients is to be used. y" +…

A:

Q: 4x +1 = cos y?

A: According to guidelines we should have been able to solve only one question at a time

Q: The solution of (e +2ay) daæ + (2 cos 2y+ 2x?y) dy is given by (A) e" + a?y² + cos 2y = c (B) e +…

A: The given equation is; (ex + 2xy2) dx + (2cos2y + 2x2y)

Q: The general solution of y" + y = e + 5e2* is y = ei (A cos (*) + B sin )) + Ce-" + 응e2x 2 () V5z y =…

A: Given that  y"'+y=e^(-x)+5e^(2x) To find the general solution

Q: Find one solution of y" + 2y' - 2y = 3e³* cos(2x).

A:

Q: Consider the following IVP: у" +у'%3D-сos x;B у(0) %3D а, у(0) -b Find the general solution. A y (x)…

A: Solution of the differential equation

Q: 2. y" +4y= cos²x

A:

Q: Verify that y(t)=C_(1)sin5t+C_(2)cos5t is a solution of y''(t)+25y(t)=0

A:

Q: The solution of (e + 2xy?) dx + (2 cos 2y + 2x y) dy is given by (A) e +x'y² + cos 2y = c (B) e"…

A: Given D.E is (ex + 2xy2) dx + (2cos 2y+2x2y) dy = 0     To find the solution of the given D.E .

Q: Show that each of the functions on the left is a 3-parameter family of solutions of the DE on its…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: The equation ? + sin(xy) + C = 0 is the general solution of O y' + cos (xy) = 2 (x + y) 2 (ydx +…

A:

Q: Suppose that ye cos Bx is a solution of y-y +ay -9y =0 where a and B are real constants Then the…

A:

Q: Consider the D.E. y+4y" 1- cos(2r). Then a suitable form of the particular solution can be written…

A: A linear non-homogeneous ordinary differential equation with constant coefficient has the form…

Q: (c) y/" + 4y = 3r cos(2r)

A:

Q: The general solution of y" + 4y' = 12 can %3D be written as (A) y = c1+ c2e¬2= + c3e2 + 3x (B) y=…

A:

Q: Is the equation separable, linear, bernoulli, or homogenous? dy а. dx x4 + 4xy² 2x3 + x²y +y³ b.…

A:

Q: Q2 Q2/If y = (x³ + 5x² + 1)3 + Jsin+/cos³Vtan3x2 find y'

A:

Q: Solve: (24x y- 15x y + 10 sin a cosa cosy) da + (40 y - 12 y-5 sin² a sin y) dy = 0 O 8a* y-3a y-5…

A:

Q: (f) y" - y' + 2y = 3e + 4 cos 2x

A: Consider the differential equation y''-y'+2y=3ex+4cos2x. To find the general solution of given…

Q: Solve: (2x cosy + 3x y) dæ + (x – a? sin y – y) dy = 0 O 2x cos y + 2x2y-y = C O x3 cos y + x?y-y =…

A:

Q: Find the general solution of y'"''- 6y'"+2ly'– 26y=0 A y=c,e-+cze* cos 2x + c,e*sin 2r ® y=c,e+c,e…

A:

Q: y= (12,4 + x)* + (1+)(Va² +x- c )cos²(4x), c)cos²(Ax), 3)4( 3 y = (12,4 +x)* + (1+x' Зx +x — с y = ?

A:

Q: Find the solution. dy 2y + dx -=x²y²sinx 1 (A) y = х? (sinx - c) B y = x ( sinx +c) y = x²(cosx+c)…

A: We have to find solution of given D. E.

Q: - (D' - 4)y = x'e"

A:

Q: b) y = cos(5x) ln(x² + 1).

A:

Q: Find the annihilator:  f(x) = cos(2x) +4sin (3x)  a. (D^2 +3)^2  b. (D^2 +9)(D^2 +4) c. D^2 - 4D…

A: