The roots of the equation D(4) – 81y = 0 are

Q: Determine the form of a particular solution Yp of Ур y" - 9y' + 14y = 3x² - 5 sin2x + 8xe6x. Do not…

A: Here given DE is  y"-9y'+14y=3x2 - 5sin(2x)+8xe6x. We find the form of particular solution yp.

Q: Find solutions to the equation 2x+3y=6 for the values x=0, y=0, and x=−3.

A:

Q: What are the roots of the auxiliary equation corresponding to the DE 6y" + 11y"-y-6 = 0?

A:

Q: Find the value/s of k in the given equation in order to have two distinct imaginary roots: 2x2 + 4x…

A: 2x2+4x-k=0 Given : the equation has two distinct imaginary root  When the roots are imaginary then…

Q: 4. Find the value(s) of b in the quadratic equation x² + bx + 1 = 0 such that it has one solution.

A:

Q: 2r+s-3 X+1 X-2

A: At first we take least common multiple of the denominators then after cross multiplying the equation…

Q: The solution of the given equation (1+ x) y' + 2xy= 4x' is:

A:

Q: Find all solutions of the equation x2y' = y3 − 5x2y3 explicitly

A:

Q: find the general solution of the given equation. y'' + 16y = 0

A: Given , y''+16y=0Lrt , y=Aemx≠0be the trial solution of the given differential equation .Then…

Q: Find the root of the equation 3x - 4x +10 =0 using Regular-Falsi method correct to 3 D.

A:

Q: After 9y - 18 = 27 is simplified to 9y = 45, what is the second step to solve for the variable "y"?

A: Solution: The objective is to find the value of y

Q: The general solution of y' = Y can be written in the form = C

A:

Q: a. x² +8x-3 = 0 Find the equation with following roots: -4+2i6

A:

Q: Find the general solution of the given equation y''  - 4y = 0

A: The differential equation y''+4y=0 is a second order differential equation. So we find its…

Q: D.E Solve the Fo llowing %3D

A:

Q: (b) Find all solutions z to the equation e = -2 – 2i.

A: (b) Given- eiz=-2-2i To Find- All solutions of z to the above equation.  Identity Used-…

Q: Solve the second-order equation xy" + 2y' 8x? by making the substitution u -y'.

A:

Q: Find all solutions of the equation z4 = 1+i.

A: Given equation z⁴=1+i

Q: You are given a quadratic equation of the form (x – p)(x – q) = 0. Show that the axis of symmetry of…

A:

Q: 8-15. What are the roots (the solutions when y=D0) of each of the fo a. y = x? – 6x +8 b. f(x) = x²…

A:

Q: The two initial values of the roots of the equation x^3 - x - 3 = 0 are A) 1,0 B) -2, 1 c) -1,0 D)…

A: Please refer the attached image for complete solution. THANK YOU.

Q: (d²4)(d-2)y=0

A: To find the roots of  (d2 - 4)(d - 2)y = 0.

Q: Find the roots of the equation z³ – 1 = 0.

A: Given,           z3-1=0

Q: find the general solution of the given equation. y" - 64y = 0

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: The equation 3x2 - 2√3xy + y2 + 2x + 2√3y = 0 is in the form Ax2 + Bxy + Cy2 + Dx + Ey + F = 0. Use…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: Solve for the solution of: (D3 + D)2y = 0

A:

Q: The graph of the equation 4x +3y +48 0 crosses the x-axis at x = %D

A: first of all find the coordinate of X and Y by putting x and y = 0 serial wise detailed solution is…

Q: 3. Find all solutions to the equation (D² + 1)²D² f(x) = 0.

A:

Q: Solve the given equation.4x + 5 = 2 in Z6

A:

Q: Q2) Find The root of the Equation fca)- x².x -3 -0 On L1, 2] using (the fixed point method), Where…

A: NOTE : There are no roots possible in the interval [1,2] of the equation f(x) = x2-x-3 = 0. The only…

Q: Find the solutions of the equation.

A: Given:            4+x+2yi=x+2i Complex numbers can be equal only if their real and imaginary parts…

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

A:

Q: Show that the equation  x4 + 4x + c =0 has at most tworeal roots.

A: Given: The method of contradiction is used to prove that the above equation has at most  two roots.

Q: a) Find the general solution of the equation d'y dy dr? + 3e* dr by using the method of undetermined…

A:

Q: Find the general solution of the given equation y''  - 9y = 0

A: From the given data:

Q: Solve the given equation. 2x = 1 in Z5

A: Z5 means group in which we have all addition and multiplication of numbers gets divisible by 5.

Q: Solve the ifferential equation (D2-2D+2)y=cos9x

A:

Q: Solve the given equation.2x + 3 = 2 in Z5

A: Given :            The equation is 2x + 3 = 2     To solve the given equation in Z5

Q: Solve y" - 5y' + 6, using characteristic equation.

A: Given differential equation is y'' - 5y' + 6

Q: 3. Find all solutions to the equation (D² – 3D + 2)y(x) = 2e3ª.

A:

Q: Find the roots of: (D² - 4) (D2)y = 0

A: To find the roots of the given equation D2-4(D-2)y=0

Q: Q3/Solve the non-homogenous equation 3x³ + 1 = cos(2x-1)

A:

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

A:

Q: 1. Solve the equation 6y +17y+12-D0.

A: Dear students, as per our rule in one session we can only solve one question please post the other…

Q: Find the root of the equation x'-4x - 9 = 0 between 2 and 3 using the secant method & = 0

A:

Q: Find the roots of the equation z³ +2 – 2/3i = 0. %3| -

A: Given: z3+2-23i=0 So,  z3=-2+23iz3=2-1+3iz3=4-12+32i We know that z=rcosθ+isinθ=x+iy, where r=x2+y2,…

Q: (a) Solve the following: dy 3r - 4y - a dr 3r-4y-b

A: Note:- As per our guidelines,  We can answer the first question since the exact one wasn’t…

Q: 4. Solve the equation z' - V2(4– 4i) = 0, giving your answers in Cartesian form.

A:

Q: The real roots of the equation 7o97(«²-4x+5) = x-1 are-

A:

Q: The sum of the roots of a cubic equation x3 + ax2 + bx +c = 0 is

A:

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.