Find the point on the line −5x+2y+6=0 which is closest to the point (0,−1). Answer =

Q: Solve 4y'' + y' – 3y = 0, y(0) = - 4, - 4, y'(0) = 0.5 y(t) =

A: The given differential equation is second order linear homogeneous differential equatio. So firstly…

Q: Solve 6x-7y=12 for y.

A: 6x-7y=12As it is a linear equation in two variable

Q: Solve y'y" = 1.

A:

Q: Find the value of y. 3,

A: Circle property

Q: On the line y = 2x + 1, what value of Δy corresponds to Δx = 3? Δy =

A: y=2x+1 We have to find ∆y corresponding to ∆x=3.

Q: ® Find ('-x"]* d x [itx"]?

A: The given integral is:

Q: m) Linearize : -3x 天ェ_= around %31

A:

Q: Solve for y: 5(y-2) + 1 ≤ 7y + 8.

A: 5(y-2)+1≤7y+8 5y-10+1≤7y+8 5y-9≤7y+8

Q: solve (D2+5D+6)y=ex

A:

Q: What is the relationship between 2.AXY and YXB?

A: Consider the figures,

Q: Solve: y''' + y''+ 15y' – 17y = 0 y(0) = - - 3, y'(0) = - 9, y''(0) = 29 y(t) =

A: Given differential equation is y'''+y''+15y'−17y=0 and y0=−3,y'0=−9,y''0=29 Write the auxiliary…

Q: Find the values of x and y. 3.

A:

Q: Q2:- xdy-ydx -Jx - dx

A:

Q: Find the solution. y'- y = -xyl/2

A:

Q: Find the value of x and y

A:

Q: Eliminate the arbitrary constant: y= C1 + C2e-2x

A:

Q: Solve (D2+5D+6)y=ex

A:

Q: find the solution (4D^2-4D+1)y=0 when x=0, y=-2, y'=2

A:

Q: Determine the general solution: y^(4) - 2y" + y' = 0

A:

Q: Solve y"+y'-2y 0, y(0)-4.y'(0)=1

A: Question is based on diffrential equation .

Q: is a solution of y"+ry 0 and write the

A: a) Unifom convergence of power series solution to the differential equation   implies that we can…

Q: solve for y  28+19y=-8+15y

A:

Q: Find the value of x . 100° Y 130° of W 66 z.

A: Sum of angles of quadrilateral is equal to 360o.

Q: 2 -1 2 2.

A:

Q: . Solve for and simplify the result. dy dr y = (3x-2)5 (2²+5)6

A:

Q: Solve for y" (2): y" - y = 0, y(0) = 12, y'(0) =

A: Differential equation and it's solution

Q: 3.Find [, L (3x² + y)dydx

A:

Q: Solve y' = 4xy - 2x, y(0) = 20 y(x) =

A: Given: y'=4xy-2x and with the initial condition y0=20 To find the general solution of the given…

Q: Solve the P.D.E XUX-July =o by using Change of variable α=xy and B=X. the

A: Given P.D.E: xux-yuy=0 The objective is to solve the P.D.E. using the change of variable α=xy and…

Q: solve by substitution  3x+4y=13 x-y=2

A:

Q: +Solve by substitution y = 4x-3 and 3x+y=32 2x + 2y = 2 and x = y + 15

A: Given :y=4x-3        3x+y=32    2x+2y=2   x=y+15

Q: Find the value of x and y. y° 46° of

A:

Q: Find the value of the variable x. X= Y 125° (бх — 11)° Z -

A: We have to find x

Q: ∫t4(t5−2)3dt

A: We have to solve

Q: Find the value of2(*y, -=,) E(x,v, -2

A:

Q: Solve y'' - 2y' + y = 0, y(0) = — 5, y'(0) = = y(t) = - 8

A:

Q: Find the value of (x + y) , if | x +- + y x2 3 II

A:

Q: Eliminate all the arbitrary constants in the equation y = C1e3x + C2xe3x

A:

Q: Find the equation of the line that passes through the coordinates (-1,4) and (7,16). Write your…

A:

Q: Find the length of XY. X(0, -2) & Y (12, -7)

A:

Q: Find the value of x in the equation, 2x + j4y-3 = j3x – y – j10.

A: here we have given the equation 2x+j4y-3 = j3x-y-j10 we will compare the coefficients of power of…

Q: Find the value of for which 2,y 2. 3

A: Find the value of x, y for which -10212x1y=-1213 Multiply the matrices in the left and side of the…

Q: Eliminate all the arbitrary constants in the equation y = Ae2x + Be-6x + Ce4x

A:

Q: Usc eliminat of equation 4x-2 i'n

A:

Q: eliminate the arbitrary constant y = C1+C2e-2x

A:

Q: d) t2 = 6,t3 = 12,t10 =x %3D

A: Given, t2=6t3=12Aim : to find  t10.We know that tn=arn-1Where a is first term,r is common…

Q: Solve for y. y 40°

A:

Q: Solve y' = 6xy - 2x, y(0) = 12 u(r) =

A: To Find:  Solution of given differential equation  y' = 6 xy - 2x , y ( 0 ) = 12  ( finding the…

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.