Which of the following equations can be reduced to the homogenuous linear differential equation with constant coefficient? O a. d'y d?y + I- dz2 dy + 322 dz da Ob. + 22 dy + 3z dy dz dz? dz d'y 22 dy + 3z dy dz3 dz? dz d'y dz3 Od. dy dz2 dz d'y +22 d dy + 3r dz dz3 dz?

Q: (14) dx + xydy

A: Given

Q: Solve dx/y-x = dy/y+x = zdz/x2-2xy-y2

A: Solve:dxy-x=dyy+x=zdzx2-2xy-y2

Q: Let xy = 2y + x. If you implicitly differentiate this dy equation, and then solve for you dx (a-y)…

A:

Q: The integrating factor (IF) of the equation: (2x³y² + 4x²y + 2xy² + xy4 + 2y)dx + (2y³ + 2x²y +…

A:

Q: Rewrite the following differential equation using differential operators. 1. y" dºy Зу" + 4у d³y 12e…

A: The given differential equations are  1) y"'-3y"+4y= 12e2x+4e3x  2) y"""+4y"'= 2tanx

Q: y3 + y? – 5y – x² + 4 =

A: Given that:  y3+y2-5y-x2+4=0

Q: 2. Solve x². dy + 2xy = 4x³ using an + 2xy = 4x³ using an Integrating Factor. dx

A:

Q: Which of the following equations can be reduced to the homogenuous linear differential equation with…

A:

Q: Find the differential equation which has y= asinx+bcosx+xcosx

A: Given: y=asinx+bcosx+xcosx                                   ..1 for finding differential equation…

Q: the general solution of the differential equation (2xy- sec2x) dx + (x  + 2y) dy = 0

A: First, find the exact form of the equation to which it belongs.

Q: y is realted to x through the differential equation: dy = ax + b and y 1.8 when x = 0 - where a =…

A: given  dydx=ax+b      dy=(ax+b)dx integrate both sides ∫xn dx=xn+1n+1+c

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.