finite difference du n. = 0 en 0 < x < 2, t> 0; dx² - u(0, t) = u(2, t) = 0, 0 < t; %3D u(r, 0) = sin x, 0

Q: Evalule the following" SS ye-xY dA, R - [y 12, 13] *[11, 2]

A:

Q: The continuity equation satisfied by u=2x^2+cy ,v=3y^2 .I O U=A sinxy V=-A sinxy .II O u = X+y V =…

A: The solution is given as

Q: find the value of deltaY and DY

A:

Q: Integration of( 3x2-3yz+2xz)dx + (3y2-3xz+z2)dy + (3z2-3xy+x2+2xz)dz along straight line joining…

A: Given: ∫-13∫22∫31(( 3x2-3yz+2xz)dx + (3y2-3xz+z2)dy + (3z2-3xy+x2+2xz)dz )

Q: Normalize the set of functions "sin, n= 1, 2, 3,...", -d < x < d п d

A: Given: To normalize the set of functions

Q: Integrate f(z) over unit circle C and indicate whether Cauchy's theorem may be applied (4) f(z) =…

A: With the help of Cauchy theorem of integration we solve this problem.

Q: 1. Find the derivative of the following function. 4. f(w) = 3D 6w* +3w +2w f'(w) = %3D

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: Find the partial derivative for the function a. b. Əz C. əz O2 = -5y² sin(x² + y²) e. d. əz dy +-5y6…

A:

Q: Find the equation of the tangent line to y = arctan(2x) when x = V3 O y - = ( - ) 1 3 O y - = }(2 -…

A: Let's find.

Q: If f(x, y, z) = 12ry - 2yz - 6zx + 7, then the first order partial derivative f = O - (2y – 6x) (2y…

A:

Q: 29. 1 + dx + /2r

A:

Q: y = CLe? + C2 ze? (3) Differentiate with sespect to 'x' get we dy Again differentiate with sespect…

A: Some results are required to understand the differentiation in the given problem.

Q: dy Prob. 5 (a) ( ....) Given the curve x³ - xy² + y³ = 1, use implicit differentiation to find da at…

A:

Q: дz дz Use implicit differentiation to find and дх ду дz дх дz ду || - || О 0 if In(xy + yz + xz) =…

A:

Q: a2u 1 du 1 a?u = 0, ar? r dr (r,0) = 0, u(r,t)= 0, 0 <rsland u(1,0) = 0 pour 0ses %3D

A: Given,                  ∂2u∂r2+1r∂u∂r+1r2∂2u∂θ2=0                             (1)with u(r,0)=0,…

Q: Differentiation [SND] If y = (r+ v1+x²)", prove that, (1+2²) 2 +ry - m²y =0

A:

Q: I need help with part B, its the one with the red outline

A:

Q: In(x) 1. Let f(x, y) sin(y) (a) Find Vf(x, y). +5ay Sincy) Sincy) *sincy) Vf(x x)= <wainty Inca)…

A:

Q: Solve the equation (2xy - tan y)dx + (x^2 - x (sec y)^2))dy = 0

A:

Q: 2. (5) Find f, for the function f(x, y) = sin (x + y²)

A:

Q: Let S' denote the unit circle in R². Integrate the function f(x, y) = x² + y² over the unit circle…

A:

Q: Q2: choose the correct answer If y = t^2/(t^2+1) and t= v(2x+1) the dy/dx

A:

Q: In(x+xy+y) 1

A: