Solve : y" + 3ty' - 6y = 2 y(0) = 0, y'(0) = 0 With Laplace Asap please

Q: Show your complete solution Find y'if y = arcsine2x.

A:

Q: (2х + 1)у? y' = y2 - 1

A: It's not clear what needs to be done in this question. To me, it appears that you want this…

Q: 4 -2) Q:Solve Y"= (;) Y.

A: We have to solve this differential equation.

Q: solve for y  2xy^2 + 4 = 2(3-x^2y)y', y(-1) = 8

A:

Q: Solve x' = 3xt²-3t², x (0) = 2.

A:

Q: solve xsinydx+(x2+1)cosydy=0

A: Given differential equation is: x siny dx+(x2+1) cosy dy=0 Use variable separable method to solve…

Q: Find the solution of the following differential equation. x²+1 1. xe"dy + dx : 0

A:

Q: Solve for the first-order DE: y’+y-y^2(cos2x-sin2x)=0

A: Solution: A first-order Bernoulli ODE has the form of y' + p(x)y =q(x)yn Rewrite the form of…

Q: ) Find y' sin)= 8x+y

A:

Q: y + y = T+?" 1+ 12°

A: In this solution i got a critical integration which term i have conclude with a integral sign

Q: Solve the DE by eliminating the arbitrary constant of x sin y + (x^2)y = C

A: Given that the expression xsiny+x2y=C. Differentiate with respect to x.…

Q: wherey = x + C is a solution to this DE. What is the particular solution?

A: Let's find.

Q: Evaluate y” - y’-2y = sin2x

A: Using method of linear differential equation.

Q: What is the order of the equation y" y- (y')³=4?

A:

Q: Solve: y" + y'tanx = (y')²

A:

Q: Y"+y=secxtanx

A: Given, y'' + y = secx tanx This is a second order linear, non-homogeneous ODE. We can write the…

Q: Solve: За? — 5а — 2 — 0 -, 3 Ox = -2, 1 3 -글, 2 | | ||

A: Given : 3x2 - 5x - 2 = 0

Q: 24=y cotx

A: Given differential equation is 2y'=ycotx.......1. We have to find the general solution of the given…

Q: 1 = felan(4x*). sec²(4x²)xde 2

A:

Q: The question is:  y=(x^2+x^3)^4 , find y’

A: The given equation is y =(x^2+ x^3)^4.By the chain rule of differentiation, compute y'.

Q: A particle moves along the x-axis. At time t=0 the particle passes through the origin with speed…

A: The equation of the motion of the particle in one direction with the variables u,v,a and t is…

Q: Solve using selaration of variables: xy^3 dx + ex^2 dy = 0.

A:

Q: . Determine the length of spiral curve having an arc length X = tan- 2t* :Y = csc-1 4¢° atst s

A: Given arc length is x=tan-1(2t4) and y=csc=1(4t2) at π2≤t≤π So x'=dxdt=ddttan-1(2t4)=8t34t8+1…