ation. 4x y"-5y' +3y = 0 around xo = 2 x) = a, (1 -- 2* + 103 1536 Ob. 11 103 y(2) = a, (1+*- 2) . (r = 2») +- 2 (x-2) 512 1536 15 y(x} = ae 384 384 103 ytx) = a (1--2 + -2) + (- 512 1536

Q: (3y" + y' - 14)= 3*13e26x - 78

A: The given differential equation is  (3y" + y' - 14)= 3*13e26x - 78

Q: Find the smallest postive integer solution to x^2 -29 y^2=1  Can you please solve it by Pell's…

A: The solution to this equation depends on a famous theorem.

Q: By transforming to principal axes, reduce the quadratic form x' Ax for 2 2 1 A = 25 2 1 2 2 to a sum…

A:

Q: (3y" + y'-14)=3*256e768x - 1536

A: The given differential equation is  (3y" + y'-14)=3*256e768x - 1536

Q: Find The Valle f X 十 キ

A:

Q: Draw diagram to show the output of each phase of compiler for following expression. a +b-c*d

A:

Q: FInd the implicity differentiate x^2- 4xy + y^2= 4

A:

Q: If M= (16x^8y^-4)^1/4 / 32x^-2y^8, determine values for x and y so that a) M=1, b) M<O

A: The objective of the question is to find the values of x and y that satisfy the given equation under…

Q: y=c_1e^x+c_2x^3

A: Elemination of arbitrary constants

Q: Differentiate. y=/3x² – 4 -3x y' = 3x - 4 3x y' = (3x2 - 4)-1/2 3 (3x² – 4) /2 3x V3x2 – 4

A:

Q: The solution of (1 - y ^ 2) * d * x + (1 + x ^ 2) * d * y = 0

A:

Q: y" + xy' = 0, x0=0

A:

Q: Find B so that B^2 = A where A = 1 -1 0 -1 2 -1 0 -1 1

A:

Q: * mplet Factor 27xz+36xz + l12z cor 10. Factor x' +6x -25x- 150. 11. Factor &r'+ 125. 7 Factor the…

A:

Q: in z 3D 2x, + 4х2 + 3x; Зх, + 2х2 + хз 0

A:

Q: If x, y belongs to Z prove that the equation x^2+4x-8y=11 has no solution

A: The given equation is, -----(1)

Q: Find the general solution of the following y^ prime prime prime -5y^ prime prime +3y^ prime +y=0

A:

Q: e y" – 2y' + y = 1+ r² 2y' + у 3 + Зе* 1 + r2

A: Given,

Q: y^ (4) + y”” + y” = 0

A:

Q: 2x+5 dx = AV7- 6x - x2 + B sin - (**)- 1. Vア-6xーx2 +C

A: ∫2x+57-6x-x2

Q: 12 z² + \82c - 3

A: given function is solved with the help of differentiation rule i.e. Quotient rule (fg) = gf'-fg'g2…

Q: Find the roots of x^2 + (k^2+1/k) x + 1 = 0

A:

Q: 96, a0ose -bsine =0 a'simo +baose asimo-baose Then,

A:

Q: Y2-1 dy

A: Follow the procedure given below.

Q: Solve each of the equations for x in the interv [0,2pi) A. Csc^4x-3csc^2x+2=0 B. Radical…

A: We have to solve the following equations for x in the interval 0,2π. A. csc4x-3csc2x+2=0B.…

Q: Consider the estimated quadratic model   y ^ = 23 + 1.6x − 0.02x2. Now, Predict y when x equals 10,…

A: The objective is to find Predict y when x equals 10, 20, and 30.

Q: 3-2 7) 6 – z*

A:

Q: -[3x+(8x+1)]=6-(2x+4) Linear equation with on variable

A: Given,

Q: Prove that equation 2x ^2 y - y^3 + xz^2 = 40 has a positive integer solution. Prove by finding one…

A: To prove that the equation  has a positive integer solution, we need to find a set of positive…

Q: Find the x-intereprs of the Furchiuro below 90 5x+2 2) 9(A)= -2

A: Since you have posted multiple question at a time as per guidelines we can solve only one question…

Q: x=4 y=5 z=(x÷y×√y-x^2)/(y×√y-√x-2/(√x+√3)) solve with betlab

A: We need to evaluate the expression: (x÷y×y-x2)/(y×y-x-2/(x+3)) for x=4, y=5 using a computer algebra…

Q: Find a general solution to the DE (D^2 + D- 6) y = 5e^2t by: a. Undetermined coefficients b.…

A:

Q: 5x 3x2 (3x²)' ework Diffeventiate the equntion. /3

A:

Q: Use the secant method to find solutions to within 10^-4 for x^3 - 2x^2 - 5=0, [1,4]

A: 2.0946 and 2.0947  if you've any doubt comment below- Explanation:

Q: solve for all possible values of x a) x^2 + 2x + (1 - i) = 0 final answers should be: -0.292893 +…

A: We have x2+2x+1-i=0 The solution of a quadratic equation ax2+bx+c=0 is: x=-b±b2-4ac2a So, the…

Q: what is convolution of [(e^-2t)u(t)]*3dirac(t)+6e^-2t

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.