If y = x° – 12x + 8, Solve for the point of inflection.

Q: solve using the appropriate method. (y − 1)y'= t , y(1) = −3

A:

Q: FIND THE GENERAL EQUATION OF THE FOLLOWING SOLUTION: y" = 12 %3D A.

A: A) The differential equation is given as y''' = 12 On integrating both sides , we get ∫y''' = ∫12y''…

Q: Solve the following Bernoull Equation. x'y +y - xy

A:

Q: show that y=x2 is one of this equation solutions x2y''-2y=0

A:

Q: Solve of the following equation y' +y x'y? Given by

A: Given differential equation y'+4xy=x3y2. The objective is to solve the differential equation.

Q: Solve the equations by the method of undetermined coefficients. y'' + y = cos 3x

A: Given

Q: For x = t3 + 2, y = 3 – t, give an equation in terms of x and y.

A:

Q: te Use an appropriate substitution to solve 2yy+ r? + y? +x =0.

A: The solution is given as

Q: y = x + C,e* + C,e-2*

A: y=x+C1ex+C2e-2x

Q: Solve the exact equation (2t – y) + (2y – t) = 0 t² – 2ty + 3y² = C Ot - ty + y² = C Oº - 3ty + 2y…

A:

Q: A. Solve the following DE by using exact equation method: y = x - y,

A: The given differential equation is dydx=x-y ⇒x-ydx-dy=0 ⇒M=x-y and N=-1⇒∂M∂y=-1 and ∂N∂x=0⇒∂M∂y≠∂N∂x…

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: 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: Find the values of r for which y = e"* satisfies the equation y +2y -8y=0

A: The given differential equation is: y''+2y'-8y=0

Q: Solve the he 2ydx + (x² -y² )dy = 0 equation so Li 3 much

A:

Q: solve for y in terms of t or x, as appropriate.

A: 1. e5k = 1/42. 80 ek = 13. e(ln0.8)k = 0.8

Q: Solve the equation: dy – y = y°e¬* d.x

A:

Q: Find the values of "r" for which y(x) = e* solves the equation y" +3y'-4y= 0

A: We have to find the value of r .

Q: The foci of the below equation are x² – 4y² + 2x + 8y – 7 = 0

A:

Q: With y(5) = 0, solve y′ = e−y(2x − 4)(show all steps)

A: This question can be solved by variable separable method. In variable separable method, separate the…

Q: dy 1 3x? 1. %3D xp 1+ X' 1+ X?

A:

Q: 3. Find all of the equation. (а) у —х (c) y' = x Inx (e) y" = 2xe*

A: A differential equation is an equation that involves derivatives or differential coefficients or…

Q: +2D+2)y = e csc x

A: Solution: (D2 +2D +2)y = e-xcsc(x)

Q: Use an appropriate substitution to solve the equation z15 and find the solution that satisfies y(1)…

A:

Q: Q1:- Solve the following DEs:- dy + 2x³y = y³x³ ,33 dx

A:

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

A:

Q: Q2\Using the variation of parameter , find the solution of: y'+9y= sec3x

A: Particular solution by variation of parameter where W is wronskian of y1 and y2.

Q: Use an appropriate substitution to solve the equation 9. y3 %3D 13 and find the solution that…

A:

Q: The degree of the equation d'y d'y dz dy (분)-3분 +y=9

A: The degree of the differential equation is represented by the power of the highest order derivative…

Q: Identify the type of the equation dy y dr and solve it.

A:

Q: Solve for the general solution of the following equations: y(4x + y)dx – 2(x² – y)dy =( а.

A:

Q: Use an appropriate substitution to solve the equation 9. and find the solution that satisfies y(1) =…

A:

Q: The position of a particle is given by the equation s = f(f) = B – 6f + 9t , where t is measured in…

A: We have to find the function for velocity.

Q: Solve the equation rydx+(y-r)dy = 0.

A: According to question given that x2ydx+y-x2dy=0

Q: Put the equation into the form x'(t) = g(t)h(x), and solve by the method of separation of variables.…

A: Factor the equation

Q: Find y', given that y= e*e(3x}+3x* answer should be in simplest form.

A:

Q: please solve it and show your work

A: The given equation is

Q: Q2. The horizontal distance that a projectile will travel in the air is given by the equation sin…

A: If sin x=y, then it can be written that x=sin-1y. The value of g is 9.8 ms2.

Q: Given the equation of OA as (x- 2)2+ (y+ 1)2 25 what are the values of h, %3D k, and r?

A: Given,           x-22+y+12=25We know that,           The standard equation of the circle is given as…

Q: Two objects moving along x-axis are starting at the same time. Their positions are measured in…

A: Given query is to find the the distance when velocity is same.

Q: solve the equation y′′+y=5sin(t) using the Method of Undetermined Coefficients.

A:

Q: y"+ 4y= 1+x+ six

A: The given differential equation is  y" + 4y = 1 + x + sin(x)  To obtain universal solution  y =…

Q: Find the solution using variation of parameters to the diffrential equation (D3 + D)y = sec2x

A: Find the solution using variation of parameters to the diffrential equation (D3 + D)y = sec2x

Q: Solve the equation (1-y)e + dy

A:

Q: What are the foci points for the equation 36x2 + 25y² – 144x – 50y – 731 = 0?

A:

Q: Consider the equation: *(t) = [ - - Find the solution of the equation x(t).

A: Given: The equation is x.(t)=0-11-2x(t)+01u(t).

Q: Q/ Solve the DEs: 1-a+yxdx+(1+x)dy = 0

A: 1-(1+y2)dx+(1+x2)dy=0

Q: Given the equation y = z² – 2z + 1, determine how many roots there will be.

A: Roots of a equation are the values of x for which f(x)=0.

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.