0. Solve y"+8y'+20y = 0, with y(0) = 2, y '(0) = -7.0

Q: 2x" 2x' 4x = 2e

A: Given differential equation 2x''−2x'−4x=2e3t.....1 Divide both sides by 2, we get x''−x'−2x=e3t Now,…

Q: Calculate y '' y = x- 2/5

A: Given that, y=x-25 We have to calculate y''. Differentiating y with respect to x we get,…

Q: '= -x+y - 8

A:

Q: Differentiate y = 3e2x/(1 + x2.)

A: y=3e2x1+x2

Q: Solve x' = 3xt²-3t², x (0) = 2.

A:

Q: How to solve this equation y'''-8y"+4y' + 48y= 4x^2+1 using Variation of Parameters

A:

Q: for

A:

Q: Solve using the method of undetermined coefficients y'''+8y= 2x - 5 + 8e^-2x ; y(0) =-5 , y'(0)=3 ,…

A:

Q: 12 -9 X' 4

A: Given that, X' = AXwhere,A = 12-940 We know that the root (eigen value) of the matrix can be…

Q: 4= Find y 13x+(2x3-x'

A: To find the derivatives

Q: Solve yuyx - Ux=4/x

A:

Q: Solve  y'' - 81y = 0

A: You can solve by finding auxiliary equation

Q: Solve y'= 3y.x² 3 x³ + 2y4

A: This question can be solved using the concept of linear differential equation.

Q: Find y" 3x +4 y = 2x - 3 y" =D

A:

Q: 3. Solve -4 -2 X' = 3 X+ -Se -11 -2

A:

Q: Construct an example of a second-order, non-constant coefficient, linear, homogeneous ODE. Then…

A: Suppose second order non constant linear homogenous ODE is  8x2y''+2xy'+y=0            .....(1)

Q: Find y''. y'" y = x(3x+4)4 |||

A: Topic:- derivatives

Q: Solve X' ||

A:

Q: 1 = felan(4x*). sec²(4x²)xde 2

A:

Q: i. Which of the following relations f: Q → Q define a mapping? In each case, supply a reason why f…

A: Mapping: A relation is said to be a mapping if the relation is not multivalued i.e., for every value…

Q: y'=(2x+2y+1)/(x+y-1)  Solve the equation.?

A: Consider the given equation. y'=2x+2y+1x+y-1 Put v=x+y in the above function. dvdx=1+dydx

Q: Solve y''-y'-2y=ex by variation of parameters. Simplify as much as possible.

A: The general solution of the differential equation is y=c1​e−x+c2​e2x−21​exExplanation:Step 1:Step…

Q: Determine the solution by the method of variation of parameters. y'''+y''=12e^(2x)

A: y'''+y''=12e2x

Q: solve     y'' - y' - 4y = e6x

A:

Q: y' = 2x + 14

A:

Q: Solve for z. (2-i)z+8z^2=0

A: Given equation is, (2-i)z+8z2=0

Q: (1) Solve x'= 2. -36

A: Since, you have posted multiple questions but according to guidelines we will solve first question…

Q: 40000y" - 81y = 0 y(0) = 4 , y'(0)= 9

A: