

Can you solve these questions?
Solve the following D.E. cy" = y' Apply the differential operator P(D) = D3 + D - 1 to the function f(0) = ef sin r.
4. Solve the D.E. 2x’y" +19.x²y" + 39xy' +9y = 0 ini? hacmid=0
Can you solve these dif. equations?
Solve the following D.E. (3.+ 2y)dx + (4.xy + 6y2)dy = 0 Solve the following D.E. (x²y)dx + y(x3 +e-3y sin y)dy = 0
#4
Problem 1 Find the general solution for the given differential equation Problem 2 Solve the d.e. y(4)2y(3) +2y() 3et +2te- +e-sint. Problem 3 Determine the second, third and fourth derivative of φ(zo) for the given point xo if y = φ(z) is a solution of the given initial-value problem. ·ry(2) + (1 +z?)y(1) + 31n2(y) = 0; y(1) = 2, y(1)(1)-0 yay) + sina()0: y(0)()a Problem 4 Using power series method provide solution for the d.e. Problem 5 Using...
(1) Find the value of k in the following D.E. to be exact: (3xy2 +8ye") dx + (3x’ y + ke") dy = 0 Then solve it.
D.E.
(1) y Find the general solution of the differential equation ay - 25 y' + 25 y = 0. (2) Find the particular solution of the initial-value problem y .+ y - 2 y = 0; y(O) = 5, y (0) - - 1 (3) Find the general solution of the differential equation - NO OVERLAP! y. - 3 y - y + 3 y = 54 x - 3e 2x (4) Find the general solution of the differential...
4. Use the Laplace transform to solve the initial value problem y" + y = f(1) = -2, ost<2 13t+4, 122 y(0) = 0, y'(0) = -1
y'(0)=1
La placE TRANSFORMto solve y" - 2ylty = f(t), yco)=7, yie f(t) = soi tl5 It-5, t25 SHOW all STEPS
Help with question 6
7. Use variation of parameters and solve y"+4y = cosec(2x) sin(x) Given y is a solution to t’y"+ xy + (x² -0.25)y=0, use reduction of 8. order and determine the general solution. -End of Paper- 6. According to Newton's law of cooling, the rate at which a substance cools in moving air is proportional to the difference between the temperature of the body and that of the air. If the temperature of air is 300K (Kelvin)...
D.E
(1) y"+2y'+y=x2-1-3, y(0)=-2, y'(0)=1 (2) + y'= -8cos2x+6sin 2 x (3) y*- 3y + 2 y =e" (x2 + 2x - 1)