If y = f(x) is the solution of y' – 5y =-20.e 15e, f(0) = 1, then Lütfen birini seçin: O a. All the previous answers are not correct. O b. f(1) = e-20 O c. f(1) = e-10 O d. f(1) = e-15 O e. f(1) = e-5

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: T(t) = – 9.5sin(t) - + 77.5 Now that we have our function, we can answer the question at hand. How…

A:

Q: Solve for the value of C in the equation: OA. 1 O B.2 OC. 3 O D.-1 (2xy4e³ + 2xy³ + y)dx + (x²y4eY −…

A:

Q: Qr/ Solve the folouing simultaneas ODES x+4y- 2. %3D

A: According to question, Given system of differential equation, x' + 4y = 0,y' + x = t2,y(0) = 1,x(0)…

Q: x=t(e²¹

A: We have x=te2t+4

Q: Determine h (t) given that h" (t) = 24t² — 48t + 2, h (1) = −9 and h (-2) = −4.

A: Given: h''(t)=24t2-48t+2h(1)=-9h(-2)=-4 We are required to find: h(t)

Q: Solve the equation z" =a for some a € C and n € N. Give your answer in terms of a and Arg(a).

A:

Q: (D² + D)y =x+| ;

A:

Q: 1. Find the general solution of (x³ + 3y)dx – xdy = 0 x³(x² + C) x³(x² + C) a. y = - 2 b. y =· 2…

A: We have to find solution

Q: 64" (2y - 6)" H

A: Given, ⊙G≡⊙E

Q: A9: Solve 3(z – i) = 2(z – 1) for the variable z = x + iy e C.

A: Solution: The objective is to solve the given equation

Q: Q1- If w=x" e what the value of (n) will make y² ay (y² 3y) = x ду

A:

Q: 4. Given f(x) = x² +9 and g(x) =-x-7, find (f+g)(x). O A. -x2 – x - 16 O B. 2? - a - 2 | O C. a? - x…

A:

Q: I. Evaluate the following expression: A. Given x = 2.0 and y = 3.0, what is the output of the…

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

Q: Solve the equation for x: x³=-27 1. x=-9 2. x=±9 3. x=-3 4. x=±3

A: It is simplification.

Q: 4. Find the general solution of y(1– xy)dx + xdy = 0 1 1 a.y = b.y = x(Inx + C) x(-Inx + C) 1 c. y =…

A:

Q: dP to find the solution to the problem dt K 7. Use P = 4P Р() — 4. 1 - 1+ Ce-at 20

A:

Q: Solve for the IF of the equation y(x + y + 1)dx + x(x + 3y + 2)dy = 0 O A. O B. O U ev O D.y O E.…

A:

Q: 3 - 9, y(0) 33 - 30 – 13 a(t) = y(t) = %3D

A: Given,       x'y'=53-30-13xy     x(0)=-9, y(0)=33

Q: 6. Given f (x) = 6x – 4, solve for x for which f (x) = 7 -

A: For the given f(x), equate f(x)=7.

Q: Solve the following IVP and show the details of your work: -3+2y (9r-2)e, y(0) 1. (0)=-6 %3D

A: We have to solve the given  IVF                                    y''-3y'+2y=(9x-2)e5x , y(0)=1 ,…

Q: dz V(z2 - 8)5 21

A:

Q: H.W 1- If P(X = 0) = 0.2, P(X = 1) = 0.3, P(X = 2) = 0.5, P(Y = 0) = 0.4 and P(Y = 1) = 0.6.…

A: Given that :  P(x= o) = 0.2 , P(x= 1) = 0.3 , p(x= 2) =  0.5  P(y = o) =  0.4  By using  conditional…

Q: 20. How many solutions are there for 45 +12x -6 =x? a. one: 2 b. none two: 3, -3 d. с. one: 3

A:

Q: Given (x? + 6y? ) dx - 4xdy = 0, whenx = 1, y = 1. Find the particular solution. O a. y? x? = 2(3x…

A: Note: Looking at the options there is a typing mistake in the question. It should be:

Q: If y = f(x) is the solution of (182?y + 2x)dx + (6x – 108y?)dy = 0, f(0) = -1, then Lütfen birini…

A: Answer

Q: Solve y - {x) for x. Then find the input(s) when the output is 2. Ax) = (x- 8)? - 1 O x=t/y+1 +8;…

A:

Q: O Show that the substitution r = e' reduces the equation ax?y" + bry/ + cy = g(x) to an equation…

A:

Q: 3. A metallic rod 20 cm long is heated to a uniform temperature of 100° C. At t = 0 the ends of the…

A: Consider the provided question, Given that, length of the metallic rod = 20 cm temperature = 100°C…

Q: tind the Value of xiy eR if (5+メ)(iーメ) %3D

A:

Q: B-8-5. Given show that G(s) @² s² + 25ws + 0²/ G(jw) - 12/2 25 =

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.