26. Given f(x) = 2x² –13x+36, algebraically find all values of x that solve the equation f(x)=15

Q: 11. Solve the initial condition problem: f"(x) = 60x³ + 24x², f(2)= 239, f(-3) = 254

A:

Q: 3. Solve for r in terms of x¡. T4m 2 m Ax 10 m 10-x,* X章

A: In similar triangles , ratio of corresponding sides are equal.

Q: Use the method of undetermined coefficients to determine the form of a particular solution for the…

A: We have to find ypx, particular solution for the given differential equation      y'''+y''-2y=xex+5…

Q: Show that the equation x^3 + 6x^2 − 4 = 0 has exactly one solution p^∗ in the interval [0, 1].

A: We used Rolles theorem.

Q: Solve for x. 9. 4 r2+3x+2 x2-2x-8 x2-3x-4 In order to receive full credit you must show all work,…

A: We have to find the value of x from the given equation 2x2+3x+2+9x2-2x-8=4x2-3x-4

Q: Find f by solving the initial-value problem  f'(x)=6x^2-8x, f(3) =23

A: Given :                f'(x)= 6x2-8xandf(3)= 23   Solution:                    Solving this Initial…

Q: B1(b): Solve the initial value problem : f'(x) = x° + 12x + 13 and f(0) = 3.

A:

Q: - Find the number of non negative solutions to x + y + z = 21.

A:

Q: 3. Algebraically, solve for x: 숲 = 쓴 + 1 A G 23 5x 器+1

A:

Q: if x(t) = tsin(3t) is a particular solution to the equation x" + qx = cost3t, then q = -9. Is that…

A: The given differential equation is: x''+qx= cos t (3t) From the hypothesis, x(t)=t sin (3t) is the…

Q: Practice 5.6 Question #6

A: Find all real  solution to

Q: dy 2 Solve (x2 - 1)+ 2xy x2-1

A: (x2-1)dydx+2xy = 2x2-1dydx+2xx2-1y=2(x2-1)2this Diff eq is Linear Diff Eq.dydx+P(x) y =…

Q: e 6. x" +2x'+x =- 1+12°

A: Answer

Q: 3. Find the number of non negative solutions to x +y + z + w = 21.

A:

Q: Q.4 Use variation of parameters to solve : 1 8 X+ X' 1 -1 12

A:

Q: x^2-1

A: Equate the equation to 0 first ie x^2-1=0 now move 1 to the RHS and apply square root on boths sides…

Q: When solving S3x – 2y = 5 ly = 3x – 3 by the substitution method, we obtain x = , so the solution…

A: Given equations are: 3x-2y=5......(1)y=3x-3......(2) Get the value of 3x from the equation (1)…

Q: B1(b): Solve the initial value problem : f'(x) = x° + 12x + 14 and f(0) = 2.

A:

Q: Find the general solution to x”-3x’+2x = e^t

A: First we find complementary function then particular integral and then general solution.

Q: Find f by solving the initial-value problem. f '(x) = 6x2 − 12x, f(3) = 6

A: Below is the solution;-

Q: 3. Use the Intermediate Value Theorem to show that there is a solution of the equation, r3³-4x = 1…

A: The given equation is x3-4x=1, (-1,0).

Q: 9. Solve for y, showing all work: 12x – 4y = 20

A: Using algebraic operation

Q: B1 (b): Solve the initial value problem : f'(x) = x5 + 12x + 12 and f(0) = 5. ,15

A: We apply differential equation method to solve initial value problem

Q: 12. Solve for x. a) 를x-3=x+ 2 b) 쓰= c) (x +1) = (x – 3) x+5 2x-1 3 d) -5(x + 1) – 2(x + 1) = 3(2x –…

A:

Q: Solve equation for X E3 ax. 3x %3D /3 +20

A: We assume "z" then substitute in the given equation and solve for z by factoring

Q: .1 Solve the equation x'y"-3xy'+3y 2x'e by method of variation of parameters.

A:

Q: Solve for x. 9) 10) C. x+19 x+29 2x-3

A:

Q: B1(b): Solve the initial value problem f'(x) = x11 + 12x + 14 and f(0) = 2.

A:

Q: 3 Find The solution of X-2x+2=0 Using reton raphsen-

A: This question can be solved using the concept of Newton Raphson method of approximation of roots.

Q: Solve []=[ x (t) = y(t) = - 3 1 -41 -5 [2] x(0) = - 2, y(0) = 23

A:

Q: 2. Determine the general solution of the following equation X₁ 3 -1X1 e 1-(³ + X₂ 1

A:

Q: Find the auxiliary equation with constant coefficients satisfied by  e^2x , e^-x , e^3x , e^5x

A: Let's find.

Q: Particular solution of y" - 5y'=x-2, when x = 0, y = 0, y = 2

A:

Q: 1.) Solve for x.' a.) ;x2 + 3x + n = 0 b.) 6x² + x – 2 = 0 Bonus 1. If x? + y? = 25 and x – y = 7,…

A: (a)       12x2+3x+π=0x=-3±9-4.12.π2.12  =-3±9-2π1  =-3±9-2πorx=-4.6483, -1.3517

Q: Find the general solution of t²x' - xt = 2x²2 for t > 0

A:

Q: 3 Find the general solution of x = Ax, where A

A: we need to find all eigenvalues and eigenvectors for the coefficient matrix

Q: 2x (융) 1 y: x'; yel, X-1

A: Consider the given equation as x+6ydx-2xdy=0

Q: 4. Solve y 3x 3y + 2y" e using undetermined coefficient. Show all the work.

A: We need to solve D.E.

Q: Solve for x. Given JKL - MNL. x+ 18 16, 4 x-3 M K

A: Given:-   ∆JKL is similar to ∆MNL  So, sides are proportional-     JKMN=KLNL=JLML⇒ JKMN=JLML

Q: S'z xdx (1+x)*

A:

Q: 2 Solve for x: 3 3 x2-16 x2+x-20 x2+9x+20 a. x= -34 b. x = -17 C. x= 6.5 no solution C. d.

A:

Q: dy 1. Determine the general solution of x = 2 – 4x3

A: since u have asked multiple question in a single request so we will be answering only first…

Q: Find f by solving the initial-value problem. f '(x) = 9x2 + 8x − 5; f(2) = 2

A: Given: Integrate the function f'(x) with respect to x.

Q: B1(b): Solve the initial value problem f'(x) = x° + 12x + 14 and f(0) = 2.

A: Solution:Given     f'(x)=x9+12x+14  and f(0)=2Formula:∫xndx=xn+1n+1+C

Q: Solve the initial condition problem f"(x) = 24.x – 10, f(2) = –221, f(3) = -61

A:

Q: 3. Solve for x and please show work x5/3 = 3125

A:

Q: 17) Use the method of Undetermined Coefficients to solve y" – 3y" + 3y' – y = x – 4e* .

A: To solve the given ordinary differential equation using the method of undetermined coefficients…

Q: 2. Solve 3x3 – 6x² + 4x – 8 = 0 for x E R.

A:

Q: Question 5. Find the general solution of t²x" + 3tx' - 3x = t² when t> 0

A: