Which of the following equations can be reduced to the homogenuous linear differential equation with constant coefficient? О а. d?y dy + 3x- dx dx3 dx? d³y + 2x³. dx? b. d²y dy + 3x dx dr3 d³y 2x2. dx² d²y dy C. + 3x = 0 dx3 dx d. d³y d?y dy = 0 dx + x + 3x². dx3 dx? O e. d³y + 2x² dx? d²y dy + 3x- dx

Q: Which of the following equations are linear ordinary differential equations? 1. 7x² + yx = 0 2. 7x'…

A:

Q: Make the Nonexact differential equation xy dx + (3y2 + 2x2 – 20) dy = 0 to an exact differential…

A: The solution is given as

Q: An integrating factor for the linear differential equation Y' - 2y = 12x is l=

A: The given differential equation is y'-2y=12x. Clearly, the given DE is a first order linear…

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.