2) Solve the differential equation by means of the parameter variation method. y" + y = secx Answer: y = C₁ cos x + C₂ sinx+xsinx+cos x ln |cos x|

Q: y"+y' - 2y = x2

A: Solution :-

Q: y" z g' = Sin x COS X Solve it by using variable of parameter.

A: This is a third order non-homogeneous differential equation with constant coefficients. We will finf…

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: Solve Variation of parameters to find y. and Yp and y y" + y = secxtanx

A:

Q: solve et (l-t)? with y coJ=2 and y'Co)=6

A: We have to solve

Q: Solve by lagrange method, find the general solution to the ODE y = x(y' - x cos(x))

A: Given differential equation is  y=xy'-xcosx⇒y'=xcosx+yx⇒y'-1xy=xcosx which is of the form y'+Py=Q.…

Q: Find y' and y". y=2sin4x-cos(8x-1)

A: Let's find.

Q: solve using the appropriate method. y' + yx= sin x

A:

Q: solve the bernoulli equation dy/dx+y = y^2(sinx+cosx). and show that the answer is y(cosx+Ce^x)=1

A:

Q: y′= (6xe^(6x)) X (cos^(2) (6y)) a) Write the equation in an integrable form by separating it into…

A: Solve using variable separable method.

Q: Solve the DE by eliminating the arbitrary constant of x sin y + (x^2)y = C

A: Given that the expression xsiny+x2y=C. Differentiate with respect to x.…

Q: solve for y'. y=sin-1[(ax+b)/(bx+a)]

A: Sin-1x can be written as asin(X)   So we have expression as y=sin-1(ax+b)(bx+a) We have to solve for…

Q: sin y = cos x (2 cos y– sin²x)

A: Given siny dydx = cosx (2cosy - sin2x)siny dydx -2 cosy cosx = - cosx sin2x…

Q: y" +9y = sin(3x)

A:

Q: V = M2x2 (R) let M = { A€ V A = A²} N = { A = V A = -A ² } Subset of the vector space V V = MON…

A:

Q: dy' dx (6.) (i + cos x ) = X = 0 y = 1 sinx (sinx tsinxcosx -y) Answer: C=1/12/2

A:

Q: y= (sec ³x + tan ²x)

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: Def (Function): A binary relation RCX X Y is called a function from X to Y, written f:X →Y if -…

A: The concepts have been explained with examples.

Q: The given Riccati equation is y'- y²-yeatr + sin²x = 0 Also it is given that, the particular…

A: Solving Riccati equation when one particular solution is given. y=y1+1/u

Q: y = 5 tan x³ + sec(3x)

A:

Q: Q1) Find the first derivative of the following equations: y = x'V

A:

Q: Q2: Solve the differential equations: dy y %3D = tan y 1- dx

A: As it is a multiple type question , so I am just solving the first one 1) The differential equation…

Q: (r+sin 0- cos 0) dr + r (sin 0 + cos 0) d0 = 0

A: (r+sinθ-cosθ)dr+r(sinθ+cosθ)dθ=0 lets rearrange and then integrate

Q: Solve to Find if cscx – San () dt = 4 – y?

A: