Exercise 2: Solve the following heat equation (u(x, t) = u,,(x,t) + x sin(t), %3D u(0, t) = t, | u(1,t) = 0, ( u(x,0) = x².

Q: T+9/2= 7t-6/14

A: Given query is to find the value of T.

Q: 2x-6=0,find x

A: Given equation is Algebraic equations we will find the solution using airthmetic techniques

Q: Divide showing your work to receive full credit (a* + 45a +18a?) - 9a

A:

Q: Solve for x 10 x-2 2.

A: To find the value of x

Q: e. 5 = logx 25 f. 3.5 = log36 X

A:

Q: 16 X- 4 20 4.

A:

Q: x+7 dx. egral: | x² - x-2

A: To find the integration

Q: √6x-9=x

A: Quadratic equation

Q: 4 + (In 8x)2 xp

A: Given,          ∫4+ln8x2xdx

Q: dx (XS_8)5

A: The objective is to evaluate the integration.

Q: use x for the veriable  the difference of two times a number and five is eight

A: The given statement is “the difference of two times a number and five is eight”.

Q: 28 2r +8 82 5x-4

A:

Q: (3x + 2)° 2x (x + 5)° (2x + 1)°

A: When the sides of a quadrilaterals are extended and the exterior angles are produced. The sum of…

Q: Solve for x

A: According to given problem and we have to find value of x

Q: 1 e10t 9 10 – x ||

A: Given  x10-x = 19e10t We have to solve for x.

Q: (a + 5) = 49 x +5 2.

A:

Q: 16. Solve for x: x² + 7x = 12

A: We have to solve for x: x2+7x=12

Q: (7x - 25)° (4x + 2)°

A:

Q: 10X

A: Sum of angle of triangle is 180°