A student correctly obtained the following characteristic equation: 2x3 - 4x2 +7x =0 What homogeneous linear equation is this student solving? O 2x³y" - 4x2y"+7xy =0 O 2y" - 4y" + 7=0 O 2y" - 4y" +7y' 0 o dy - 2x3 - 4x²+7x dx « Previous Not

Q: у"" - 8y" + 41у'- 234 е 3х, у"(0) %3D 187, у'(0) 3D 29, у(0) 3D 10 3x.

A: Now we solve this below

Q: Differentiate. h(r)= 2-2r-3 9r-5 O A. h'(r) = OB. h'(r)= gr² +8r+37 (9r-5)² O D. h'(r) = 9r²-10r+37…

A: given function

Q: 2y" --2y' +2y=6+2e¹/2

A:

Q: The general solution for the equation y'=x*e(x^2+y) can be given in the form of: ?ex^2+2e-y=k a) x…

A: Solve by separable variable method

Q: Solve using De Moivre's Theorem to find the general solution.  y^(8) + 8y^(4) +16y=0

A:

Q: 7 0-3 -9 -2 3 18 0-8 y, y(0) = 2 3

A: Given y'=70-3-9-23180-8y Also given y0=23-1   To reduce to row echelon form and solve for constant…

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.