= 4 is 3. The nontrivial analytical solution of +x=with x(0) = (a)3-e (b) 3+e (c) 3+es (d)-3+e (e)-3-e7 dt

Q: 4. A sketch of r(x) is shown. Which of the following could be an equation for r(x)? a. r(x) = (x-a)…

A: The given graph of r(x) has zeros at point a , -b and  -c . For the zeros of r(x) , put  r(x)=0 .…

Q: Solve the given equation.. (3x²y + 2xy+y³)dx + (x² + y²)dy=0

A:

Q: Solve the following ODE y + 2 y +y = X + ex (C1 + x C2) e* -2 + e2x / 9 .a (C1 + x C2) e* + (x -2) +…

A:

Q: Given h(x)=4x+3h(x)=4x+3, find h(-1)h(−1).

A:

Q: If h ( x ) = 3 x 2 − 2 x, then find h (5).

A: Let there is a function fx to find the value fa we need to substitute x=a in the expression.…

Q: Show the solution using methods of undetermined coefficient. The answer should be Y = C1et + C2…

A:

Q: Solve for z when f(z) = 0 where f(z) = 12z² + 25z + 12. Z=

A: We can find the value of 'z' by solving the quadratic equation in the below steps.

Q: if f(x)+g(x)= 3x +2 and g(x) = x - 1 then f(x)= %3D а. 2х+3 O b. 3x+2 О с. 3х-2 O d. x+4

A: Given,f(x)+g(x)=3x+2g(x)=x-1f(x)=?

Q: 5x-y2 2xy+3y2" c. xy? - 2x5 + 3y³ = C d. xy? + x5 + y3 = C 29. Find the general solution in implicit…

A: We have to find solution of exact differential equation.

Q: 3. Given f(x) = -7x-8-4sin(8)- 3e-6x – 4n² then determine the defining equation of f(x).

A: To determine the defining equation of f(x) from f'(x), we integrate f'(x) with respect to x.

Q: How do I solve q=f(t)=t3/4+t2/3+6 if t=4?

A: Given function and value of t are,

Q: Let X = b(n, and E(3x) = E(3-5x) find n.

A: If X~ B(n,1/2) We know that, Mean, E(X) of binomial distribution is given by np So  E(X)= np = n/2

Q: Find the general solution of tx -3x = t³+2t for t> 0.

A: Given DE is  tx'-3x=t3+2t .......(1) We find the general solution of (1).

Q: Find the value of C from the solution of = 4 (22 +1); a () = 1.

A:

Q: Two balloons, one red and one green are released from a platform at t=0. Each balloon goes up for a…

A:

Q: y(x)=(x+1)2(x+2)3(x+3)4,x>−1.

A:

Q: f(0)=2 and f(n+1)=3f(n)-1. Find f(4)

A: To find f (4), obtain f (0), f (1) and f (2) as follows.

Q: Solve for X if (x)=z=r

A: The given expression xy-z=rw. We have to solve the expression for x.

Q: Find f-1 (x) for f(x) = 7x + 4. O 1-²=-²/x-1/ O f¹(x) = -7x+4 O---- O f-¹(x) = -7 x - 4

A: For finding the inverse of a function replace all x with y and all y with x and then solve for y.

Q: Is  (6, 2)(6, 2) a solution of  x−5y=−3x−5y=−3?

A: Consider the given equation for x and y:

Q: x²y+ 2xy = x + y ise y =?

A:

Q: What is the particular solution for r(x) = 6xe³ª?

A: We have to tell the particular solution for  r(x) = 6xe3x

Q: Which of the following is the general solution of x 2 V) 2 -xy'-56x 2 =0? O a.…

A: We have to solve given problem: Note: given differential equations is wrong. According to options…

Q: 2 =[41] −1 4 If A = find (AT)-¹.

A:

Q: h(x)= 3x+5 j(x)=-2, I-3 What is h(x)/j(x)? What is the domain?

A:

Q: I. Solve for the unknown/s. 1. x:4 = (2x + 3) = 12 2. (x+ 1): (2x + 3) = (x + 3)(2x + 8) 3. (3x –…

A:

Q: Let  f(x) =    7x − 2,     x ≤ −5 −x2, x > −5.  Find  f(−1), f(−5), and f(−6).

A: