Solve the equation and show the graph: Y - (4x – y + 1)° = 0 y(0) =2

Q: x + y - 18x + 10y +90 = 0 is the equation of a circle with center (h, k) and radius r for h = and-…

A: We have to find the radius

Q: Solve y"+10y'+25y=D0, y(0)=2, y'(0)=-14 y(t)=? SHOW ALL WORK

A: Given y''+10y'+25y = 0withy(0) = 2, y'(0) = -14

Q: dy Q3. Solve the DE da +y - y? provided that y1 = - is one known solution of the equation.

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Q: Determine if the equation (dfferential form) is exact and find the solution if it is…

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Q: i. x = sin (y – 5) 2 ii. –3x² + y? – 22 = 6

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Q: al equation - y² , y(1) = 2 is hod with step siz nd off to 2 place

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Q: Given the equation x2+z2=7, write an equation for the cross section at y = −7 using x and z. Can you…

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Q: Find the general solution of the given equation y" + y = 0

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Q: Q2: Solve and show the details of your work y" + y = sec x

A: We have to solve                             y''+y=secx

Q: y = x², x = 1, y = 0; about the y-axis

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Q: dy x(x+ 1) Solve and find the particular solution when y(1) = 3 %3D dr

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Q: dy dr (0,16). for the equation = 18in(v² – 255) Find at the point

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Q: (D'-3D+4)y(x) = xcos(2x) equation

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Q: In the circle below, VZ = 13 units, ZY = 5 units, and WX = 8 units. Solve %3D %3D for VY. Show your…

A: We will use the fact that, triangle VYZ is a right-angled triangle and use it to find the Value of…

Q: x + y? – 14x + 6y + 54 = 0 is the equation of a circle with center (h, k) and radius r for: %3D h =…

A: Lets find radius r  and  center(h,k).

Q: (d) Find the points on the curve x'y = 60 nearest the origin.

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Q: The equation y ' y? - 1 is separable

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Q: The general equation of the circle is x²+y²+Dx+Ey+F=0,where D,E and F are real numbers? True or…

A: We know that, the general form of the equation of a circle is x2 + y2 + 2gx +2fy + c = 0. Here, the…

Q: Exercises : Solve the following diff. equations. i) (y+y)dx-(x²+x)dy=0

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find an equation that repesents C(t) = -2i + 3eit, 0 ≤ t ≤ 2π but traveling in the opposite…

A: Equation travelling in opposite direction

Q: d?x + X = secy dy?

A: We have to find the general solution of the given differential equation d2xdy2+x=secy .

Q: Q4/ Find the angle between the curves x² = y & y² = x

A: The curves intersect at (1,1).  Now calculate slope at (1,1):  ddxx21,1=ddxy1,12x1,1=dydx1,1m1=2…

Q: x + y - 18x + 10y+ 90 = 0 is the equation of a circle with center (h, k) and radius r for: h = and.…

A: topic- center and radius of circle general equation of circle with center (h,k) and radius…

Q: SOve the exact DE and Give the general Solution. ay-3x)y'-3y=D0

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Q: x+ y = 0 3x- 2y 10 ch of the following ordered pairs (x, y) ystem of equations above?

A: From the given data: x+y=0 3x-2y=10

Q: V9 – x² dx using a geometry formula. Illustrate.

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Q: Explain the steps required to find the length of a curve x = g1y2 between y = c and y = d.

A: It is given that x=gx for c≤y≤d.

Q: Q3/ Find the angle between two curves: 3 x2 , y = x² y = 2

A: Please see the answer in step 2

Q: e-SP(x) dx Y2 = Y(x) (5) as instructed, to find a second solution y,(x). y" + 2y' + y = 0; y, = xe*…

A: We will find out the required value.

Q: Solve the given initial value problem. y" + 6y' + 9y = 0, y(-1) = 3, y'(-1) = 2 %3D %3D y(t) = %3D…

A: Given

Q: Mxy'+ (1-x)y xe* %3D

A: The general form of linear differential equation of first order is,    dydx+Py=Q…

Q: Explain in your own words why the general equation of a circle x? + y2 + Dx + Ey+F 0, is a special…

A: Explanation:

Q: Solve the problem. Find the length of the curve y = In(csc x), 7/4 T/2 VI E

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Q: y^2 = 4x, x^2 = 4y; revolving about the x-axis. Use washer method. With graph.

A: Solution

Q: Ydx - xdy + x(2 - y)dy = y2 e dy %3D

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Q: Find the particular solution of an EDE (2xy2 +1)dx + (2x2y-y)dy%3D0 when x-2 and y=-2 Answer:

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Q: Solve this equation y"+ 2y + 2y = e-t where y(0) = 0 and y'(0) = 0? %3D

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Q: The r coordinate of the point of intersection between the two curves y = e2" and y = 1 is a = (Write…

A: Solution let a  value x=xo is intersection point of two function ,say f(x) and g(x) which implies…

Q: in R°sketch the graph of the cylinder x = (y – 2)?

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Q: Consider the equation d'y da² +y = 3x², with the boundary conditions (0,0) and (2.31145, 4.62291).

A: To Solve: The given differential equation d2ydx2+y=3x2, with boundary conditions (0,0) and…

Q: 4- The motion of a particle is described by the equation x = a + bt where a =15cm and b 3cm. find…

A: 4.  Given equation of motion of particle:-                                                  x=a+bt2

Q: 1. y%3D3X -4 y=Dx

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Q: dy Find the equation of the solution to da z°y through the point (z, y) = (1,5). %3D help…

A: The given first order differential equation is…

Q: Y2 = Y1(x) / "dx (5) as instructed, to find a second solution y,(x). у" - 8y' + 1бу %3D 0%; Y1 = e…

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Q: ey-x y' = 1+ e2y ,y(0) = 3 %3D (h=0.01) .What is the error in the solution?

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Q: For x and y in meters, the motion of a particle is given by x=t^3−3t,    y=t^2−2t   i don't…

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Q: dy at the point (1, ) da For the equation given below, evaluate - 2 2y

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