Which one of the following differential equations is linear? .A dy + xy = sin(x) dx .B dy + x²y = e® sin(x) dx .C dy + x²y = sin(x) dx .D dy +x*y = sin(y) sin(x) dx

Q: 2x + x2 cos(x) + 1 -dx x2

A:

Q: S(;+ sin(x) – Vx²) dx

A:

Q: Solve dy/dx=sin(x+y)+cos(x+y)

A:

Q: Find the differential dy of the function y=-2²-3x - 2. Select one: O a. (-x-3)dx. O b. (-2x - 3)dx O…

A: dxndx=nxn-1d(constant)dx=0

Q: 5

A:

Q: Q: Solve y+8= Cos (x) ナ3sin(2x)

A: Given: y''+y=cos x+3 sin 2xCE: m2+1=0⇒m=±iCF: e(0)x( Acos x +B sin x)=Acos x +B sin x

Q: Consider the initial value problem (2xy² + cos x cosy) dx + (2x2y- sinx siny) dy = 0 and y(0) = 1…

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.