d'y Which of the following function is the form of the particular solution of the differential equation dr3 fip dz 2 sin z ? O a. yp Ar + Ba + Cz + D+ Ex sin a + Fr cos a + G sin a + H cos r O b. yp Ar + Ba? + Cx + D+Er sin z + Fr cos a O c y,= Ar? + Br + C + D sin z + E cos a O d. yp Az?+ Bx? + Ca + D sin a + E cos a Ar + Bx2 + Cx + Dx sin z + Ex cos r O e. yp

Q: Consider the differential equation 3y" +y-2y = 2 cos t Which of the following is the general…

A:

Q: By using the differential operator D and it's inverse, solve this equation: y"+y=sin(x)

A: Follow the procedure given below.

Q: Find the general solution of 2ey cos 2x dx + (ey sin 2x + 3y sec2 y2)dy = 0. a. e sin 2x +y tan y? =…

A: This question is related to differetial equations, We will solve it using given information.

Q: Form the differential equations from the following equations: 1. y ax + bx2, 3. xy Ae+ Be+x2. 5. y=…

A: The solution for the asked part  is given as

Q: 8. consider the differential equation x*y3 + x(1 + y²) = 0 Which of the following integration factor…

A: Integrating factor is not unique. So check the correct option by multiplying the given differential…

Q: 1 etan)dy = 0. 13. (1+y) dx + (x-

A:

Q: olve the following initial value problem for r as a function of t. (2))i- Differential equation:…

A:

Q: Solution of the following differential equation dy ex+y dx e*-2y will be O a 2e-3Y=3e2+c b. 2e…

A: Given differential equation is dydx=e-x+yex-2y ⇒dydx=e-x·eyex·e-2y Using variable separable…

Q: Solve the exact differential equation (In y - y sin x-6e³x) dx + ( + cos x + 5 sec y tan y - 6y)dy =…

A:

Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

A: Given solution, y=c1cos3x+c2sin3x So, y'=-3c1sin3x+3c2cos3x So, y"= -9c1cos3x -9c2sin3x

Q: Czsin(2x) + C4cos(2x) y= C¡sin(x)cos(x)+ C2sinh2x+ is the general solution of which of the following…

A: Here, we have the general solution : y=C1sin(x)cos(x) +C2 sinh (2x) +C3 sin(2x)+C4 cos(2x)ex…

Q: Which of the following equations are first order ordinary differential equations? 1. 7x + yx 0 2.…

A:

Q: Which one of the following is a particular solution to the differential equation y" + 2y' + 10y =…

A: Write the differential equation using the operators D=ddx and IP= imaginary part only:…

Q: 2. Cosh X y sinh x 2 cosh x sin dx dy dxxy = 1 5. (1-x)

A:

Q: 9. Find the solution of the differential equation (D2 – 4D + 5)y = 0 y = e2x(C1 cos x + C2 sin А. x)…

A: We have to find the solutions

Q: dy dx 6. xe ,ify 0 when x 0. %3D

A:

Q: What is the solution of the differential equation 20분 +3분+2분 +6-4y=0? Oy=C₁e¹2 + C₂e²+ C3 cos √r –…

A:

Q: Consider the differential equation 3y"+-2y = 2 cost %3D | Which of the following is the general…

A: We have to solve given problem:

Q: If the ratio of boys to girls in tennis camp is 3:5 if there are 64 campers, how many are girls 

A: We find out how many girls as follows:  • We first need to determine the total number of parts in…

Q: Linearize the following nonlinear differential equations for the input equilib- rium of u-2 9+uy-u.

A: 4.

Q: 4. y= e (A cos x + B sin x),

A: Formation of differential equations: As a rule, one reqruires  n+1 relations to eliminate n…

Q: Form the differential equations from the following 1. y= ax + bx², 3. xy Ae +Be +x. %3D

A: A differential  equation is a equation which ha a function along with one or more derivative  To…

Q: What is the solution of the differential equation (D³ + 3D² +3D+2) y = 0 ? 0y=Cie O O -2x + C₂e *…

A: We have given a differential equation, D3+3D2+3D+2y=0 This is homogenous differential equation of…

Q: Which of the following is the solution of the given differential equation, y" + y = tan x Oy = - sin…

A:

Q: 2 + v - , 2+z+ 11. 0. di

A:

Q: Find a differential equation that corresponds to the given direction field. Consider differential…

A:

Q: Find the general solution of the given differential equation: y" – y = sin? z cos 2z 10 O By cos 2r…

A:

Q: 10. Find the solution of the differential equation ( D+ 8D° + 16D y = 0 y = C, + (C, + C,x)cos y =…

A:

Q: What is the solution of the differential equation y" – 8y + 25y = 36e4x ? -4x O y = C1e¬4 cos3x +…

A:

Q: 1. + e*y² = x²y² dy da 2. y + sin x = x³y 3. In x - x²y = xy dy da + cos y tan a

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.