Solve the differential equation: cos(x)dx + ( sin(x+y) + sin(x –y))dy=0 Hint: sin (A ±B) =sin A cos B + cos A sin B A In (sin x) – 2sin y =C B In (sin x) – sin y =C © In (sin x) + sin y =C In (sin x) + 2sin y =C

Q: x*cos(y/x)*dy/dx = y*cos(y/x)-x   find solution of that differantial equation.

A: Let us consider the differential equation of the form dydx=fyx  then to solve the differential…

Q: Find the particular solution : y" + y" +4y sin2x sin2x (b) Yp =sin2x (a) yp = - (c) Yp =- cos2x ()…

A:

Q: Find the form for a particular solution to the equation y "+2y'– 3y =r?cos (nt). A…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: 7/4 2 sec(6x)dx sin(r In(x)) 13x 1

A: (b)

Q: S(;+ sin(x) – Vx²) dx

A:

Q: (cos X-cosy-cotx) dx - sinxsiny dy=0

A:

Q: z = sin(6x) sin(5y) az az dy II

A:

Q: If x'y" + xy'+(x? -y=0 x>0 ,y,=x 2sinx , and y=y,v. Which of the following %3D equations satisfied…

A: Let   y1 and y2be two solutions of the second-order linear differential equation d2ydx2+Pxdydx+Qxy=R…

Q: If x'y" +xy' + (x2 - -0 x>0 , V1=X 2 sinx and y=y,v. Which of the following equations satisfied by v…

A:

Q: X dy + dx dy Y dx 2 - 1 sin(2x) = r arcsin(r)y5 (1 - cos(2x)) y³ y = (1

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find y' : In(cos² 3x) = e*+y + sin-1 y

A:

Q: Solve: y" + 2y' + 2y = 2 sin(x) +3 cos(2x)

A:

Q: Show that Y + y = 0_given that y=2 sin x + 3 cos X y"

A: Note: We will answer the first question only as the exact one is not specified. Please resubmit the…

Q: Hint: Use method of undetermined coefficient Solve using the differential operator D=d/dx y" - 2y' +…

A:

Q: (cos y + y cos x) dx - (x siny - sinx) dy = 0

A:

Q: Yp = A1 cos V2t + A2 sin V 2t Which of the following is Yp'? sin v2t A1 V2 Cos /2t A2 V2 O V2A1 sin…

A: Please see the explanation below

Q: Solve y' = cos(2x + y – 5) – 2. = COS

A: The solution is given as

Q: Solve the DE sinx siny dx + cosx cosy dy = 0 by separation of variables. (A) cos y sin x =C sin y B…

A:

Q: Find y'. sin t y = 8 + t %3D y' = %3D Find y'. 2 sin 0 + 9 cos 0 y = %3D sin 0 – cos 0 y' = %3D

A:

Q: Find the solution. y'= 1 + 3ytanx (A) 3y tan³x=c+ 3sinx-cos³x B 3y cos³x=c+3sinx - sin ³x D 3y…

A:

Q: Use the method of undetermined coefficients to solve y" – 2y' + y = 5 cos(2x) + 10 sin(2x)

A: Solve the differential equation y"-2y'+y=5cos2x+10sin2x using the undetermined coefficients .

Q: Find the general solution for (cosx)y' = 1 – y² consider y, (x) = sinx. %3D

A: Given:  cosxy'=1-y2                  1          , y1x=sinx Let y=y1+u be a solution of (1)…

Q: (2 sin(y)) dx + (x y cos(y²)) d y = 0

A: Variable separable differential equation

Q: Solve 4x cos(3x) dx using Integration by Parts. 4x 3 + sin 3x + 4 cos 3x + c

A:

Q: Find The geneval Solution f 3y Cosx + 4x + 2x² e) dx + (3 Sinx + 3) dy

A: Here we have to find the general solution of the given differential equation which is of the form…

Q: Question 2 Find the solution to the DE. (y-x+xycotx) dx + xdy=0 xysinx=C+ sinx - xcosx Oy=(c +…

A: Concept: For a differential equation of the form P(x,y)dx+Q(x,y)dy=0 The differential equation is…

Q: Solve the ODE with differentials operator (D²+4)y= cos(2x) + cos (4x)

A: Linear ordinary differential equation

Q: Find the solution. dy sin x x +2y = y(2) = 1 dx , X A y = (4 + sin 2 + cosx²)/x² (B) cy= (3 cos 2x -…

A:

Q: The general solution of x*y = -x³y- csc(xy) is A 2x?сos(xy) - 1 %3D сх B 2x²cos(xy) +1= cx² c)…

A: We have given a differential equation ,  x4y' = - x3y - csc(xy) x4dydx = -x3y - csc(xy) Here , plug…