Y"+y=secxtanx by using variation of parameters

Q: The curve y = ax² + bx + c passes through the point (2, 28) and is tangent to the line y = 4x at the…

A: We have  y=ax2+bx+c        at (2,28)           and               y=4x

Q: Fühd dy ldy bY Imelicít differeveti ration. 3

A:

Q: General solution of differantial eq.? y'' + y = tan(t)

A:

Q: y = vx² – 9

A:

Q: With the help of Weingarten equation show that H[ñ ñ2 ] = FN – GM %3D

A: Given: To show the given statement as follows, The given  H    n→  n2→  r2  →  = FN - GM.

Q: 3. Find the tangent lines and normal lines to the curve y = x4 - 4x3 + 6x2 – 4x + 3 with slope…

A:

Q: Linear Non-Homogenous – Variation of y" + 4y = cos 2x parameters

A: We need to use method of variation of parameters to solve  y''+4y=cos(2x)  General form of second…

Q: tion of all components of v(3) correct to two decimal places.

A:

Q: Find the equation for the y perpendicular trajectories of the curve family. 1. x

A: perpendicular trajectory

Q: 3. What is the equation of the tangent line to the curve x3 + x² = y which is parallel to the line…

A: Given the equation of the curve y=x3+x2 and the tangent line is parallel to 3y+x-5=0

Q: solutions using Integrating Factors Found by Formulas y(y + 2x − 2)dx − 2(x + y)dy = 0

A:

Q: 12. The line y = 8x + b is tangent to the curve y = 2x². Determine the point of tangency and the…

A:

Q: Find the point on the line y = 3x + 4 that is closest to the origin. (x, y) = |

A: To find - Point on the given line closest to the origin.

Q: Find the line tangent to the curve x + yi = 4 at the point (3V3, –1). y = x- 4 Oy = x+4 y = O y= s…

A:

Q: Find the area of a triangle bounded by the y axis, the line f(x) = 5 - -2, and the line 4…

A:

Q: How does Taylor’s formula for a function ƒ(x, y) generate polyno-mial approximations and error…

A:

Q: Solve cot x-v3 =0 over [0,2t)

A:

Q: A line is tangent to y = x - 2 at (2,6). What is the coefficient of x when the line is in the form…

A: Given curve y=x3-2    ;   (2,6)

Q: solve parameter method J-yこ cosh x y"-

A:

Q: 2x dx by taking n = 4 1+ x Use trapezoidal Rule to evaluate

A: trapezoidal rule

Q: Suppose you are climbing a hill whose shape is given by the equationz= 1000−0.01x2−0.02y2, where x,…

A:

Q: Find the root of the equation fx = In (x) -5 + x in the interval [2.0, 3.0] using Regula Falsi…

A: The root can be found for a function using the Regula Falsi method. This method uses the formula for…

Q: Find the point on the line y = 2x + 3 that is closest to the origin. (x, y) =

A: The perpendicular drawn from the origin to the line represents the shortest distance.

Q: 9. Differentiate y = /sec³ (5t2)

A:

Q: xux +yuy = 2u, u(0,y) = 0 by method characteristics a first order equation

A: Given equation is  xux+yuy=2u                   (i) Eq. (i) is of the form aux+buy=c where a is x, b…

Q: 4. A projectile is launched with an initial speed of 40 m/s from the floor of a tunnel whose height…

A:

Q: (12z – 12z2 + 71z – 77 Integrate: 4x2 + 25 - la( |42° + 25|) – arctan X + C

A:

Q: 8. Find ihe point where the normal to y = x + Vx at (4,6) crosses the y-axis.

A: Given :- Equation of line that is y= x+x              The point from which we need to find the…

Q: 8. use the method variation o f parameters to find the general SOlution ot y"+ y =secX

A: G ji

Q: 2x dx by taking n = 4. 1+x Use trapezoidal Rule to evaluate

A: on solving this we get

Q: Find the point on the line y = 4x + 3 that is closest to the origin. (x, y) =

A:

Q: 1 a) x²e-x dx

A: Use the formula of integration by part and finally put the limit  to got the answer

Q: Find the point on the line y = 3x + 4 that is closest to the origin. (x,y)=

A:

Q: The line that is normal to the curve x + 3xy - 4y² = 0 at (3,3) intersects the curve at what other…

A: Given: x2+3xy-4y2=0 at (3,3)

Q: Use the method of Variation of Parameters to solve. SHOW WORK. у" - у' — 2у %3D 2е-t

A:

Q: Show that the rate of increase in the slope of the tangent at a point on the curve y = 2x3 is 12…

A: Consider the given curve: Here the objective is to show that the rate of increase in the slope of…

Q: Find the general solution using Methods of Undetermined Coefficient and Variation of Parameters.…

A:

Q: Numerically integrate f (x) = x° +3x + 4x – 6 from a = 1 and b = 2 using Single-Trapezoidal Rule…

A:

Q: ential equation is given by

A:

Q: Use the variation of parameters method to solve y" + y = secx.

A: A differential equation is given. We need to solve it by variation of parameters.

Q: Find the equation of a Tangent line to y = 2x2 – 5x – 1 that is parallel to line x + y –

A:

Q: Determine the general solution of y" + y = tanx using variation of parameters

A:

Q: Use variation of parameters method to solve b. y" + y = tan x

A:

Q: i Explain. Reducible the working procedure of Equation to Homogencous. form.

A: Given: Procedure of equation Reducible to Homogeneous form.

Q: y 1-

A: The solution is given below in the next step:

Q: Assume perfect competition: Price: $99 Cost: TC 3Q+0.04Q² Solve for the profit-maximizing Quantity…

A:

Q: 3. The normal line to the curve y = f (x) = 2x² at a point in the first quadrant passes through the…

A: Question is solved.

Q: y

A:

Q: The curve y = ax² + bx+c passes through the point (3,6). The line y = 4x + 1 is tangent to the curve…

A:

Q: y' = y sec

A:

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.