Find the coordinates of the x-intercepts of the graph of the equation. (If an answer does not exist, enter DNE.) y = x2 − 4 (x, y) =          (smaller x-value) (x, y) =          (larger x-value)

Q: (x3 + у3)dx - 3ху? dy %3D 0

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Q: Solve the homogenous diff equation of; y' = y sec x

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Q: 2. Use separation of variables to solve the following equations: (a) (y² + 1)dy + (e² + x)dx = 0.

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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: The graph of the equation 1x 122  1y  222  9 is a circlewith center ( , 2 and radius .

A: If we want to find y - intercept of the graph , then we plug x= 0  and solve the equation for y Here…

Q: Solve y-y"+ 20y -0 A): y- e +egel+ Cye B)y -e+ C)y-el+e+ D) y - ger +eze-

A: Equation in the form of linear homogenous so we only have to find complementary function

Q: 3x² (- x) dx – (-y) dy = 0 2х (1) Find the general solution for

A: The given differential equation is: 2xy3-xdx-3x2y4-ydy=0 Comparing this with: M dx + N dy = 0, we…

Q: x2 + z2 = 7 Write an equation for the cross section at  y = −7 using x and z. Write an equation…

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Q: Find the general solution for the given equation: y’’ + y = csc x

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Q: d²x + k²x = 0 dt2 4 - 2 () dw' + yw = 0 dx³ dx

A: To find that the Differential equation is partial or ordinary, linear or non linear, and order and…

Q: l equation of y" os(3x) +C, s 3r)

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Q: d'y -=6-9x dx2 Find the equation of the curve for which and which passes through the points (0, -1)…

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Q: a2x – 7ay + 5a = 0 Reduce the given equation to (a) intercept form (b)slope – intercept form

A: (a) If a is the x intercept and b is the y intercept and if both are nonzero, then the intercept…

Q: Find all values of r for which the function y = e^(rx) satisfies the equation y'' + 5y'-6y=0

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Q: (1-x)y" - 2xy + n(n+i)y =0 [ Legendre Equation] |

A: We will solve it by power series method

Q: x+y-4) dx-(3x-y-4)dy=0; when x=4, y=1 Solve using Coefficient linear in the two variables

A: ( x+y -4)dx-(3x-y-4) dy = 0 , x=4                                                               y…

Q: The solution of y" = - y, y(0) = 1, y'(0) = 0 is %3D

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Q: dy ----- + 2xy 2x using the method for linear equations. dx Solve ww-

A: Given the ordinary differential equation dydx+2xy=2x

Q: Q3 The length of a curve from (0 ,-3) to ( 3,3)is given by Vx4 – 2x2 + 2 dx Which of the following…

A: Length of curve

Q: x² + y)dx + xy dy = 0

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Q: Solve and find the domain in which the solution is defined. dy/dx = (y2-xy-x2)/x2 , y(-3)=-6

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Q: Solve the equation: (x-2y) dx + 2(y-x) dy = 0 Answers should be within these givens. x2 – xy + 4y2…

A: Let's find.

Q: The sales of shirts and ties at a store are related by the equation 0.6x³ + 3xy + 8.3y³ = 78659.1,…

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Q: Find the general solution to y" – y = t e

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Q: 1. 4x dy – y dx = x²dy %3D

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Q: SOLVE THE EQUATION (y -2) dx - (x-y-Ddy = o ISSING THE DE LINEAR IN x 4 Y VAKIABLES.

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Q: d'y =6- 9x and which passes through the points (0, -1) and (2, 3). Find the equation of the curve…

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Q: Solve the diffrencial equation.  4x3 y4 - Lny+(y/x)/-4x4 y3 + (x/y)-Lnx = dy/dx

A: Mdx + Ndy =0if ∂M∂y =∂N∂xIt's exact diffrential equation and then solution :∫y constMdx + ∫(terms of…

Q: Find the equation of the curve for which dx2 = 6- 9x and which passes through the points (0,–1) and…

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Q: phs of the equations, (b) analytically, and (c) us of the graphing utility to v

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Q: (x - 2 J2 t Find the point on the line y = 2x + 3 that is closest to the point (3,0).

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Q: Using the variation of parameters, find the particular solution of (D2 + 1)y = sec x

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Q: The solution of D.E " -y = 5(t – 1) ,y(0) = 0,y'(0) = 0

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Q: d?y =6- 9x and which passes through the points (0, -1) dx2 Find the equation of the curve for which…

A: Differential equations

Q: d?y -=6-9x dx2 Find the equation of the curve for which and which passes through the points (0, -1)…

A: We will do this question by checking the conditions for the given options.

Q: Q3: Find the points on the surfac x^2+z^2-4=D0, closest to the origin.

A: Solution:-

Q: d?y - =6-9x dx 2 Find the equation of the curve for which and which passes through the points (0,…

A: To find the curve satisfying the conditions

Q: he (D+D+1)y(x)= xe equation Solve the y,(x) = (x-1)e* -e y,(x): (x+1)e" y,(3) =x-1 (x-1)e"

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Q: d?y =6- 9x and which passes through the points (0, -1) and (2, 3). dx2 Find the equation of the…

A: Given problem:- Find the equation of the curve for which and d2y/dx2 = 6-9xwhich passes through the…

Q: 2. xydx+(x -3 y)dy = 0

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Q: x''-4x'+3x=(e^t)/(1+e^t) Using Variation of Parameters method, find the general solution.

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Q: Find the general solution of the equation: e y' + y' – 2y = e - e |

A: As the given equation is a second order differential equation, thus write it in the general form and…

Q: D. y" – = 0 3y" + 3y' - y =

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

Q: Eliminate the arbitrary constants of the equation below, where B is a parameter. x = czeßt + c2 e-2ß…

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Q: Solution 2 (i) f(x,y)=5x'e" +3xy– 2x' +3ху - 2х° of of ây дхду дудх

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Q: A lighted candle burns outr according to the equation y'(t) =kv (t) where y is the length (in…

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Q: d?y =6- 9x and which passes through the points (0, - 1) and (2, 3). Find the equation of the curve…

A: Integration

Q: d?y =6– 9x and which passes through the points (0, -1) and (2, 3). Find the equation of the curve…

A: I am attaching image so that you understand each and every step.

Q: Y = x2 − 4x + 3 Approximate any intercepts. (If an answer does not exist, enter DNE.) x-intercept…

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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.