22) Solve the 2nd order differntial equation d2y 2y ax? dx² `dx' n terms of the integration constants M and N

Q: dy Q2) Solve x- 2y = x³ tan 2x dx

A:

Q: Solve the ODE of variable coefficients first changing this to constant coefficients x²y" – 4xy' + 6y…

A:

Q: solve xsinydx+(x2+1)cosydy=0

A: Given differential equation is: x siny dx+(x2+1) cosy dy=0 Use variable separable method to solve…

Q: 2 [(3 sec2 x + - x)dx 4

A: Integrate

Q: Solve the differential equatons (7x-ty +16) dy + (2x-5y+12) dx=o when x-3, y= 2

A:

Q: Solve 2sinx- V3 = 0 on interval [0,2 t)

A: We have to solve  2sinx - √3 = 0 on interval [0 , 2π)  Since ,  2sinx - √3 = 0  2sinx = √3

Q: Integrate S (2x+1) Staz+X+4) dx

A:

Q: LUse the method of undetermined coefficients to solve dx 5x + 9y + 2 dt dy -x + 11y + 6 dt

A: Consider the provided question,

Q: Solve for ‘x’ and ‘y’ where x + y = a – b, ax – by = a2 + b2

A: To solve the equation for x and y.

Q: (D² – DD' + D)z= 1 1- Solve

A: Here the given equation is non homogeneous partial differential equation with constant…

Q: Solve: x'y" - 2xy' + 2y =0 2_2)

A: Please refer to the image below

Q: Solve The ODE  y'=2y

A:

Q: x4 x² x² + 1 - 1 dx ii) Š 1+ Inx

A: Please refer to the image below

Q: 2. 2 Solve (D² +2DD' + D'² -- 2D– 2D')z =sin(x +2y)

A: Given the pde

Q: Which of the following equation is a variable separable DE? a. (x + x^2y) dy = (2x + xy^2) dx b. (x…

A:

Q: x - 7 Integrate dx. x2 – 2x - 3

A: NOTE: Refresh your page if you can't see any equations. .

Q: Solve 3a²x² +11abx + 6b² = 0,a'0

A:

Q: dy 05: A/ Find the separable equation dx

A: The given differential equation is: dydx= y2 - 1x ⇒ dyy2 - 1 = dxx Solve this equation as follow:

Q: xdx 2x +3 a) Í b) s2*-2x-4 dx c) 2x' + 6x? +4x - dx x + 2x – 3 х2-1

A: As per our guidelines we can help you in solving only first three subparts. Rest of the problems you…

Q: 2r – 2r² + 1 x - x

A: Due to our guidelines we can only answer one question at a time, therefore i have answered first…

Q: Calculate a) 2'/ x (-2 /½) + 2ª/s = b) Solve 2(x + 4)_ = 3(x– 2) 4 5

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.