Find how far an airplane will move in landing, if in t seconds after touching the ground its speed in feet per second is given by the equation v= 360 – 36t.(hint: take v=0, C=0 ).

Q: The equation y2 cx is the general solution of: (Hint: Remove the arbitrary constant "c") %3D

A: Given problem is to find the differential equation where the general solution of differential…

Q: Solve by "ref with back substitution 2x+3y-4z=1 x+3y=4 y-z=0

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Q: (c) -7x+12x = 2 given that at t 0, x 1 and i 5

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Q: D. y" + y' - 3y = 4sin 2x

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

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Q: It is easy to check that for any value of c, the function y = ce 2+e= is a solution of the equation…

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Q: Solve for y: Ax+ By= C

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Q: on from the point (1,-1) is the instantaneo 2,2 Oxʻy – 13y° equal - 19?

A: Given:- fx,y=6x4-10x2y2-13y3

Q: ) Determine the Cartesian Equation perpendicular to the line L1: 4t – 2y = 8, -3t = 6 – 2x with a…

A: Write L1 in Cartesian form. Then find its slope or gradient then use it to find the slope of the…

Q: 8. x = y² – 2y, x= -1, y= 0

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Q: Show that the equations xp- 4yq=0 and (32 +2z +1)(p+q)=x'(x+4y) compatible and solve them.

A: 1. Two partial differential equations of first order are said to be compatible if they have a common…

Q: 5. Show that 1 T = VI? + y? satisfies the equation Tz + Tyy = T3

A: Given T(x,y)=1x2+y2

Q: Use Variation of Parameters to find the general solution for the following DE y" - 2y'-8y = 3e-2x…

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Q: (6x + 1)(,F – 2) Suppose that y'(x) = and that y(4) - 3. Solve for y(x).

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Q: a) Find the general solution of the equation dªy dy dx² 4- x2 + 3e* - dr4 by using the method of…

A: As you have posted multiple parts,but they are independent so according to our guidelines we will…

Q: PART A If WY = 15x - 2 and XZ = 9x + 10, solve for a and find WY. W. Y

A: Given, An isosceles trapezium  We know that the Diagonals of Isosceles trapezium are the same

Q: 1. Eliminate x and solve for y: x + 2y = 14 +-x + 3y = 26

A: Our Aim is to solve the given system of equation using Elimination Method:-x+2y=14 -(i)-x+3y=26…

Q: For which values of the constant c is a linear -日 combination of a and where a and b are 62…

A: We have to find values of c

Q: to the equation (D²-1)y(x) = x'-x+1 y(x) = qe" +ce" +x-5x+1 -t yx)=ge" +ce --5x-1 - y(x)=qe'…

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Q: b) Now, start with the exact same equation as before, i.e. Vz+ Vj= 5,

A: Given  x^(1/2) + y^(1/2) =5

Q: solve by bernoulli y' + (8/x)y = x6y4

A: We will find out the required general solution for given Bernoulli's equation.

Q: 1. (a) Solve for the general solution y' + (cotx)y : = xCScx

A: Solution1;a Given the diffrential equation yι+cotxy=xCScxGiven the diffrential equation  is of the…

Q: Find the relation between a, b, c and d for which the equations ax + by = c and cx +dy = a have a…

A: Given: Find the relation between a, b, c and d for which the equations ax + by = c and cx +dy = a…

Q: how did this equation Hx = exp P (ny + ). ož = vi[exp (o,) – 1] turned into this equation 1 In Hy =…

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Q: a) Use variation of parameters to solve: ex' = *+[')- 2. tX' 13 -2. 2t

A: Since you asked two separate questions as per our guideline we solve only ine fir you and please…

Q: 1. Solve ,analy hically., the fallowinng differencerequ. a. C- YCK+3) +2 y(km2) +oi45y(k+i) +0105…

A: As you require, we will solve this question on the given difference equation purely analytically.

Q: Suppose that the position of a particle moving along a straight line is given by .2 s(t) = at + bt…

A: The objective of the question is determine the position of the particle S(t) with the help of given…

Q: A car with a constant speed of 21 m/s leaves the finish line 5 seconds after a car with a constant…

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Q: The position of a bird flying on a straight line is given by s(1) = 3 - 21 +1, where s is in meters…

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Q: A particle moves along the x axis according to the equation  x = 2.04+3.07t-1.00t^2, where x is in…

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Q: Eliminate the arbitrary constant on the given equation: y = C1e-2x + Cze2x

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Q: j(x) = 2f(x + 1) + 4

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Q: If the power of the rocket handler is given by [(t – 11)(t² + 1) + 5(7t – 5)]e-0.5t Where t is the…

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Q: Find value of k in the equation kx+8y+11=0 if point X=(10,7) lies on this line

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Q: 4. Find the general solution to the equation via the variation of parameters y" + 9y = tan(3t)

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Q: U varies directly with the cube root of V and inversly with W. How do I make an equation out of…

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Q: what is the privet Solution to the equation (0'+0)y(x)=Xsinc) (X)

A: The given differential equation is D3+Dy(x)=xsin x The particular integral of vsin x , where v is…

Q: Show that the equation 2/x– 1– Vx = 3 has a solution.

A: Equation is 2x-1-x3=3

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

A: Given: a=x3+4, v0=11 The objective is to calculate the velocity function v of the particle when at…

Q: If an object is moving at a constant speed s​ (in miles per​ hour), then s=dt−1​, where d is the…

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Q: Find the general solution of the equation satisfying the two given conditions. 4t2x" + 8tx' + 5x =…

A: Topic: differential equation

Q: Verify that for x>0, (2/ /3)x³² 2 is a solution of the equation yy" =x.

A: Given:     To verify: y is the solution of equation yy''=x

Q: solve for X and Y in the simultaneous equation below; 30cosX+43cosY=60 30sinX-43sinY=0

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Q: Solve the following DE: 3x³y = 2y(y- 3) Oy-3= Cye-1/x² O 2y-1= Cye/x Oy+3= Cyel/x² O 2y-1= Cye-1/x²

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Q: Given a particle whose motion is represented by the equation s = 20t + 4t – 3t3. What is themaximum…

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Q: Solve the following DEs: 1. 4y" + 16y' + 17y = 0, when y = 1, x = 0; y = 0, x = n

A: Note: As per bartleby instruction when more than one question is given only one has to be answered.…

Q: Solve the following equation. | (2t – 6) dt = 0

A: Recall the rule of integration: Integral of xndx = xn+1

Q: An insect is in a toxic environment. The level of toxicity is given by I(x,y)= 2x* – 4y If the…

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Q: If the power of the rocket handler is given by P = [(t – 11)(t² + 1) + 5(7t – 5)]e¬0.5t Where t is…

A: To find the energy we take the integral of the given power function between t=1 and t=4.…

Q: Find the general solution of y"+25y=sec(5x)

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