Q2/ Classify the following equation as linear or not, and if not, what type of linearity it is: V; – c²v7x = 0 and verify that v = e¯*sin 2x is a solution for it if C² = 1/4 %3D

Q: Find the linear approximation at x = 0 to Write your answer in the form y = Ax + BỊ.

A:

Q: 2x273, if XEl f(x={x² +3, if XEl X2+1,if メフ f(t°+つ)=D3

A:

Q: - Find the linear equation that satisfies the following: f (3) = 10 and f(5) = 24 %3D I

A:

Q: Decide if the following functions are linearly independent in the interval (-00, 00) f1(2) = 1+r,…

A:

Q: dy = 2 yx + yx dx

A: Solve

Q: Solve the following IVP: (x²y+y +5x2 +5)Y =y2 +y-2; y(1)=2 dy dx

A:

Q: dy if y= 3x Find dx х2+1 3(1-х2) D) (x2+1)2 3x2-3 A) 3. 3 B) 2x C) (x2+ 1)2 х2 +1

A:

Q: 9. S(1+3t)t²dt 10. S(2t2 – 1)² dt 11. fy²ydy

A: 9) Given integral is: I=∫1+3tt2dt Simplifying it: I=∫t2+3t3dt

Q: A particle moves in a straight line such that its acceleration when at position x (with respect to a…

A:

Q: -t,x-1 dt

A: Please see the explanation below

Q: fond solu tion of Bernoullidifferential equation %3D

A: Given y'+2xy=-xy4

Q: Consider the difference equation = Xn+1 Xn+bsin(2xn). Determine any fixed points of this difference…

A: Given difference equation isxn+1​=xn​+bsin(2πxn​) -----------------(I)Step 1: First, we find the…

Q: Q/ find the root of the equation by false position y = x3 – 6x² + 10x – 4 ɛ<0.001 for above…

A: Given,  The equation is  y=x3-6x2+10x-4 we have to find the root of equation using false position…

Q: Eliminate the arbitrary constant. y=Ax³+Bx³ (A B 7xy" - x²y + 15y = 0 D x²y '- 7xy" + 15y = 0 Cx²y"…

A: To find- Eliminate the arbitrary constant. y = Ax5 + Bx3

Q: the optim

A: Let point on the curve y=x is (x,x). Then the distance between the points (x,x) and (5,0) is…

Q: Example: Given, y = 4cx .2 %3D Find orthogonal trajectores. Tikrit 1 Civil

A:

Q: The windchill index announced during the winter by the weather bureau measures how cold it "feels"…

A:

Q: gression equation to predict the y ducation: hat (Y)=5x+25. What is the y

A: Given question is :     Regression equation to predict the y  :  hat (Y) = 5x+25. what is the y…

Q: Find a real root of the equation x³ – 2x – 5 = 0 correct to six significant digits and then…

A: Absolute error: Subtract the approximated from real value, gives us absolute error. Relative error:…

Q: 2) (Зx2у + 4eУ)dx + (x3 + 4хеУ + 2у)dy

A:

Q: Express the following functious by Cartesian equetion r=4 tano seca r= 4 CSCO 2 t=l+2rcosa

A:

Q: - = (cos a}- y"

A: Explanation of the answer is as follows

Q: Determine which of the following pairs of functions are linearly independent. NO_ANSWER 1. f(0) =…

A: The linear dependency of functions can be evaluated using the value of the Wronskian of those…

Q: Q2/(A): Use Newton's Forward difference formula to find the first and second derivatives of the…

A:

Q: X+2y t32 =9 x 134 t42 こる 3X My t122= 39

A: We write the system using a matrix

Q: xt' + (t") = vx + 5 %3D

A: Due to Bartleby guidelines, only 3 sub parts can be solved. Please repost the remaining questions to…

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.