Find y' by implicit dif ferentiation for 2y³+4x² –y = x6 . 6x5- 8x y '=- 6y2 – 1 A 6r5 + 8x B 6y2– 1 6x +8x 6y +1

Q: Find y(0.2) for y"=xz²-y², xo=0,yo-1,20-0, with step length 0.2 using Runge-Kutta 2 method (2nd…

A: To find- Find y0.2 for y'' = xz2 - y2, x0 = 0, y0 = 1, z0 = 0, with step length 0.2 using…

Q: Find both first partial derivatives. z = 15XVY 15xVy %3D dz az

A: We need to find partial derivative.

Q: How come it is 20y and not 20y^2/2 after integrating?

A:

Q: Find the differential dy. y = 6x7 + 3x2

A: Given:y=6x7+3x2

Q: y =x3 dy Itx² -

A: Note  You type wrong Question here in place of dx/dy must be dy/dx  I solve it using dy/dx otherwise…

Q: 3) Estimate Y(2) using Euler's method with 0.5 long dY intervals. Y - 2X and Y(1) = 0. dx

A:

Q: Find the total differential. z = 5x3y9 dz =

A:

Q: Find the value of 0z/0x at the point (1, 1, 1) if the equation xy + z3x - 2yz = 0 defines z as a…

A: Given, the equation is xy + z3x – 2yz = 0 and defines z as a function of the two independent…

Q: Find both first partial derivatives. 6y* az ду.

A:

Q: 2+ yety y' : 2у - хеху

A:

Q: Find the partial derivative. (2² + 4x – 4y)* z = dz

A:

Q: Differentiate implicitly to find the first partial derivatives of z                              x2…

A: Given that function, x2 + y2 + z2 = 1 Differentiate with respect to x on both sides,…

Q: Differentiate implicitly to find the first partial derivatives of z…

A: the given implicit function is:xlny+y2z+z2=8

Q: What is the integrating factor y x² = 2 (2x - y)?

A: The given equation is; y'=2(2x-y).

Q: Find both first partial derivatives. z = 13xy az az ду II

A:

Q: What is the integrating factor of xy' + 6y = 3xy3?

A:

Q: Find both first partial derivatives. z = exy

A: Given function is z=exy. Partial derivative of function means derivative of function with respect to…

Q: Find the indicated partial derivatives. y+ Sz az dy ex

A:

Q: Determine the integrating factor xydy - (y2-3x2)dx = 0

A:

Q: Differentiate implicitly to find the first partial derivatives of z. 7x² + 3y² + 11z² = 36 əz əx əz…

A: Differentiate implicitly to find the first partial derivatives of z.   7x ^ 2 + 3y ^ 2 + 11z ^ 2 =…

Q: Find the partial derivative fx ( x , y ). f ( x , y ) = x ln ( 3x + 4y )

A:

Q: find the soution of' the differential eq. System X= 3X+44 9=X+3y %3D

A: Given differential equations are                                     dxdt=3x+4y,dydt=x+3y…

Q: 4+2x If g(x.y) = By then the mixed partial derivative at the point (- 2. is:

A:

Q: Solve for the second (a) partial and (b) cross partial derivative of the function below own x² + y?…

A:

Q: Find both first partial derivatives. z = 4y²/x az ax az ду || ||

A: z=4y2x

Q: Find both first partial derivatives. z 13XVY az az ду

A:

Q: y ln x - x ln y = 1

A: ylnx-xlny=1Treat y as yx

Q: 7. Integrate em***)dx_using the Substitution method. x +3

A: To evaluate the given integral using substitution method.

Q: Find both first partial derivatives. z = 2y2√x

A: fx = differentiate with respect to xfy=differentiate with respect to yddxxn=n xn-1

Q: Find all the second partial derivatives forf (x, y) = x³y5 + 2x*y.

A: All the solutions are given below.

Q: +[2yln [2yin (3 3y²dx 3siny dy = 0 ;when x = 1, y = 0 5x x2+3x x+3,

A:

Q: Find the partial derivative. = (a² + 4x – 2y)° - dz II

A:

Q: Find both first partial derivatives. z = 9xVy az az ду || ||

A:

Q: Solve for the second (a) own partial and (b) cross partial derivative of the function below x² + y²…

A: On solving this we will get

Q: 7. Integrate 2x-1 dx by using substitution method.

A:

Q: From the partial differential eqiuation by eliminating the arbitrary function z=(x2+y2+z2)

A:

Q: dy 3. y = [(x + 1)(x – 1)]³, dx dy 4. y = (t + 4)(t – 2)(t – 1), dt 12/07/2021 15:

A:

Q: Find both first partial derivatives. z = 14y²Vx az ax az ду eBook

A: We have to find

Q: 4. S 2z3 el-z dz 5. S Vx In(Vx) dx Vr3 6. Si, Inx dx

A:

Q: Differentiate implicitly to find the first partial derivatives of z. 2x? + 5y2 + 11z² = 81 %3D az ax…

A:

Q: Find both first partial derivative h(x, y) = e-(xª + y^) hx(x, y) = hy(x, y)

A:

Q: Find the partial derivative of the following                     y = 3x2z + xz3 – 3z/x2

A:

Q: If z-f (x y): then its total differential can be expressed as * (),中 (). dyds dy + dz O Option 2 O…

A:

Q: Find all first partial derivatives. z = ln(x2 + y2 + 1)

A: Given The equation is  z = ln(x2 + y2 + 1) .

Q: Find the value of dx at the point (1,1,1) if the equation 6xy + z"x-2yz = 5 defines z as a function…

A: Given: (x,y,z)=(1,1,1) and z=6xy+z4x-2yz-5=0

Q: S(2x% + 3x -1)dx - 3x –1 dx Integrate

A:

Q: Find the partial derivative of u = x^2 + y^2 + z^2 - 4xyz

A:

Q: Find the partial derivative. 2 = (r² + 5z – 6y)“ az ||

A: The given function is: z=x2+5x-6y4

Q: Suppose a particular investor derives utility function - U(x, y) - from owning x units of stocks and…

A: