The particular integral(P.I.) of the differential equation (D² + 5²)y = 2 cos² x – 1 is_ cos2x 29 sin2x 21 cosx 21 cos2x 21

Q: The complementary function(C.F.) of the differential equation (D – 7)(D² + 7?)y = e7² is O (c2 Cos…

A: Solution: The objective is to find the complementary function of the given differential equation

Q: The complementary function(C.F.) of the differential equation(D – 8)°y = sin 8x is (ci + c2x +…

A: Solution: The objective is to find the complementary function of the given differential equation

Q: 3x dy dx solve +6 + 13y = 8e" sin2x - dx

A:

Q: The particular integral of the differential equation (D + 2)(D+4)y =2+sin? r + cos? a is_ +|00 o 00…

A: Particular solution

Q: The particular integral(P.I.) of the differential equation (D² + 7²) y = 2 cos? x – 1 is_ cos2x 53…

A: By putting D^2=-2^2 we get the solution

Q: cosy dx + (1 + e¯*)siny dy = 0

A: By separating the variables on each side  we can integrate them easily. Given, cosy dx+(1+e-x)siny…

Q: ne following second-order differential equa

A: Introduction: A second-order differential equation has a form d2ydx2+p(x)dydx+q(x)y=r(x), where…

Q: c. y" +4y=tan2x %3D

A: Solution of the given differntial equation is

Q: The complementary function(C.F.) of the differential equation (D² + 6D+18)y=x is_ -37 (c1 cos 3x +…

A:

Q: (2y cos x + sin*x) dx = sinx dy %3D

A: Given, Differential equation : 2y cos x+ sin4 xdx=sin x dy To find: General solution of given D.E.…

Q: Please show all the work!! Solve the differential equation: y"+y'+y=sin(2x)

A: Step 1:Given differential equation: y′′+y′+y=sin(2x)We have to solve the given differential…

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: The particular integral of the differential equation (D² + 3)(D +5)y= 3+ sin z + cos² z is_ 8 15 O 6…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: solve the following DE X^4 y' + 66x^3 y = x ^-2 cosx

A: The given differential equation is  x4y'+66x3y=x-2cosx.   The by parts formula of integration is…

Q: Which one is false? If the auxiliary equation of the homogeneous linear differential equation has…

A: Let us check which of the information given is false in the next step.

Q: ‏Solve the differential equations by direct method dy/dx=1/4X^2+ 4x + 2

A: Given, dydx=14x2+4x+2 Now we shall differentiate the given equation by direct method.

Q: U is y= cosx. A

A:

Q: ear differential equation y' - (sinx)y = 2sinx is:

A:

Q: The particular integral(P.I.) of the differential equation (D² + 4?)y = 2 cos² æ – 1 is cost 12…

A: Concept:

Q: The solution of the first order linear differential equation y' + ycotx = cosx is O…

A:

Q: The integrating factor of the linear first order differ dy sin2x y+tanx xp Oa None of these Ob sinx…

A: Given differential equation, sin2xdydx=y+tanxdydx-ysin2x=12cos2x If the equation is of the form…

Q: The particular integral of the differential equation (D + 2)(D+4)y =2+sin? a + cos? a is_ 8

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.