Determine for which value of m the function $(x) = x" is a solution to the given equation. d²y dy (a) 3x + 11x- 3y = 0 dx (b) ?d³v dy - 5y = 0 dx2 dx

Q: d S 1+ 2x3 Find dx ( 4x5 – 1

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: ·S√2t³t² dt = dr 8 √2x³ - x²

A:

Q: |(9x - 5) dx, given the following. Calculate 2 X-dx 3 19 dx = 3 %3D xdx =

A: Property of Definite integration: If the upper and lower limits are the same then the integral is…

Q: a. e (6+Inx) 2 1 -dx b. 3. ¾ x je 1 -dx c. +7 dx J d. 3

A: As per guideline we can solve maximum three subpart you can repost

Q: Describe why the statement is incorrect

A:

Q: Find d²y/dx² implicitly in terms of x and y. x²y - 4x = 6 d²y dx² || (4xy-12) +³ 3 X

A: we need to find out the double derivative of the given expression.

Q: So 0 xe- dư x²

A:

Q: l+4vx 15. dx =

A: Given that:∫e1+4xxdx

Q: d Find dx (46z + 3) -

A: Answer  We know that ddx(af(x))=af(x)ln(a).f1(x)

Q: The value of 5 1 x² [³ - dx is

A: Given query is to find the value of integral.

Q: (d) dx x 2 -1 2.

A:

Q: ³+1 2x²5x 3 S dz.

A:

Q: dr Find if r (x) = 9x 2 + 5x – 3. dx

A: Given,            r(x) = 9x2 + 5x - 3

Q: 1 -dx. J x2 + 2x +2

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.