e'sin2 xdx + e2Ycosxdy= ycosxdy 1

Q: (y/x+6x) + (lnx - 2)y=0

A:

Q: Solve the differential equation x"(t) - 4x(t) = t using the factorization method.

A:

Q: 2. (4xy + y") dx – 2(x²- y) dy = 0 3. Y' = (y + 1)/x

A:

Q: 2 2 2 2 x²dy =l-x+y -xy 1-xナy -XY dx

A:

Q: y(4) + 3y"" — 10y" = 0

A: Given differential equation y(4)+3y'''-10y''=0 To find the general solution, lets find auxiliary…

Q: 1. State the order of the following differential equations. Which are linear and nonlinear? dy а. dx…

A: 1,a) The order of the differential equation is 1, it is linear. b) The order of the differential…

Q: Solve for c1 0 = C1e5 + C2e-1

A:

Q: x*y' Vy +3xy =10x²

A:

Q: he question asks to find all solutions to this differential equation. could you use Bernoulli method…

A: Introduction:   The conventional form for a Bernoulli differential equation is as follows:…

Q: Find the general solution of the given differential equation. y'''-3y''+3y'-y=0 If using a…

A:

Q: Find the differential equation of the family of -2x y = A1eª + A, e 2a

A:

Q: Solve u'(t) + u (t) = 5 subject to u (2) = −6.

A: given differential equation :-u'(t)+u(t) =5   subject to   u(2) = -6let   u(t)=ythen differential…

Q: (х-у)(4х + у)dx + x(5х-у)dу%3D0 2.

A: Given differential equation is (x-y)(4x+y) dx+x(5x-y)dy = 0i.e dydx=(y-x)(4x+y)x(5x-y) ...(1)Now…

Q: dzy d + 3- 4y = x? B: Solve the differential equation:

A: Given: d2ydx2+3dydx-4y=x2...(1) So, we can also write as: D2+3D-4y=x2 So, the auxiliary equation is:…

Q: Find the general solution of the differential equation ay dy – (x* + y')dx 0.

A:

Q: . Find a general solution of the differential equation y" 2y3y=3x²–5

A:

Q: Find the general solution of the following differential equation. 4ryy + 2ry + =D0

A:

Q: Write down a differential equation of the form = ay+b where all solutions approach y = dt as t → 0.

A: The given question is solved below.

Q: Find the general solution of the differential equation except when the item stipulates otherwise.…

A: The solution is given as

Q: Find an explicit solution to the differential equation y-y+3 =0.

A:

Q: What is the order of the differential equation y"-3y +6y-2y=0? Enter your answer as a numerical…

A:

Q: 4. y" +y = 2xsinx

A: First we will find complimentary function and the perticular function.

Q: y = Ax? + Be-x Find the differential equation by eliminating the arbitrary constants.

A: To find differential equation from given equation eliminate the constants by differentiating the…

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.