> Reduce the fellouing partial diffrential equation ith constant cobficients into canmonical form and hence find The general solution

Q: Evaluate the indicated partial derivatives. 2 = 9r*y – 3r*y az az dy

A: We know that, The Power law: ddxxn=nxn-1   Given: z=9x2y-3x5y

Q: Given a cylindrical storage with 5m radius and 9m in height. If the radius is to increase by 0.1m…

A:

Q: If z=(X+Y) e and X-u * find the tollawing partial derivatives using Chain ruleo Express answers as…

A: Given, z=x+yeyx=u2+v2y=u2-v2 To find : ∂z∂u , ∂z∂v

Q: A company manufactures 2 models of MP3 players. Let x represent the number (in millions) of the…

A: We have to first find partial derivatives of the given function.

Q: The quadratic partial derivatives are continuous and fa (x, y) = x + y? and fy (a, y) = x – y meets…

A: We have to check whether the statement, "The quadratic partial derivative are continuous and…

Q: Differentiate implicitly to find the first partial derivatives of z. 5x² + 11y² + 7z² = 4 (No…

A:

Q: du 19, where u(0, y) — 8е-3у %3D ду

A:

Q: u+ 2v 4] = 1+ vw; w, and vw. w

A:

Q: Find the four second partial derivatives. z = y3 - 9xy2 - 2 %3D azz дхду дудх ay?

A:

Q: Soru 1 Solve the given initial value problem using the method of Loplace transforms. y "+6 y'+ 5y=12…

A:

Q: - y" + 5y' = 0

A:

Q: Find the nine second partial derivatives. w = x2y3 + 8xyz - 5yz xy %3! II

A: Given that, The function is following, w = x2y3 + 8xyz - 5yz We have to find the partial…

Q: y(z – 2x)100 = y – xz; Xy and yz. |

A:

Q: Solve dP/dt = kP(1-P/L) for P(t) by separation of variables and integration using partial fractions.

A:

Q: x(z + 2y)100 = yz – x; Zy and xz.

A: Given problem:- x(z+2y)100 = yz-x  To find:- Zy and Xz

Q: 5) Starting from the expression Cp- Cy = T use the appropriate relations between partial derivatives…

A: The amount of heat required to raise the temperature by one degree in one mole of the substance is…

Q: Find the four second partial derivatives. z = 7x2 + y9 ax? azz дхду дудх az ay? %3D II II II

A: We have to find the four second partial derivative of the given function. The given function is…

Q: 5xy = 4x?z – 3yz?; yx and yz. -

A:

Q: x(z+ 2y)100 = yz – x; Zy and xz.

A:

Q: 5xy = 4x²z – 3yz2; yx and y,. -

A:

Q: A company manufactures 2 models of MP3 players. Let x represent the number (in millions) of the…

A:

Q: 5. Given that 5x623 W = The value of x, y and z are measured with maximum percentage error of 1%, 2%…

A:

Q: 1 1 1.

A:

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

A:

Q: 5xy = 4x²z – 3yz²; yx and yz- %3D Z.

A:

Q: y² + y²eG)° + 2x²•G° x': 2xye 6) Zaye*

A: The solution is given as

Q: 5. Given that 8x2 w(x, y, 2) VIVE Use partial derivatives to find the maximum percentage error in w,…

A: Given, w(x,y,z)=8x2y3 z4Percentage error in x, y and z is 1% , 3% and 4% To find: Maximum percentage…

Q: For an ideal gas, find explicit expression for the partial derivative:* ƏT RT P R. O Option 1 O…

A: The equation of an Ideal gas is PV=nRT. Here, P- Pressure V- Volume n- Amount of substance R- Ideal…

Q: Find the four second partial derivatives. z = y3 − 5x2y2 − 3

A: we have to find the four second partial derivatives.

Q: 5xy = 4x²z – 3yz²; yx and yz.

A:

Q: Evaluate the indicated partial derivatives. = 82²y – 4a°y - az dx dz dy || ||

A: Derivative z with respect to x and y

Q: Find the first partial derivatives 3xz %3D 6x+8y

A:

Q: Find both first partial derivatives z ² = In ( \ ) (No Response) (No Response) az əx дz ay

A:

Q: A company manufactures 2 models of MP3 players. Let x represent the number (in millions) of the…

A:

Q: Evaluate the indicated partial derivatives. z = 7x°y – 4r'y dz dz fie

A: Use partial fraction

Q: Find the first partial deravatives of the function

A: Since, only question no. 21 is clearly visible in the image you have provided, that’s why we are…

Q: Differentiate implicitly to find the first partial derivatives of z. x In(y) + y²z + z² = 14 az ax…

A: Hint: 1) while differentiating with respect to x , treat y as constant and 2) while differentiating…

Q: Differentiate implicitly to find the first partial derivatives of w. x2 + y2 + z2 - 1yw + 8w2 = 6…

A: let f(x,y,z,w) = x2 + y2 + z2 - 1yw + 8w2 - 6 =0then fx(x,y,z,w) = 2xfy(x,y,z,w) = 2y-wfz(x,y,z,w) =…

Q: Solve dP/dt = kP(1-P/L) for P(t) by separation of variables and integration using partial fractions.…

A:

Q: Use the method of variation of parameters to produce a general solution of the inhomogenous equation…

A:

Q: (a) Find the general solution of the equation (x – 2) y dr 3(х — 1) -y3 1 - (x + 1) (b) Given the…

A: A first-order linear ordinary differential equation(ODE) is of the form y'(x)+p(x)y=q(x). The…

Q: Differentiate implicitly to find the first partial derivatives of z. x2 + xy + y2 + yz + z2 = 0 az…

A: topic - partial differentiation

Q: t3 +t - 1 -dt Jz4 + 2t2 + 1 EVALUATE. Hint: partial fraction decomp.

A: The given integral is  ∫t3+t-1t4+2t2+1dt

Q: Find both first partial derivatives. z = sinh(9x + 7y) dz ax az ду Submit Answer || ||

A:

Q: Find the first partial derivative wx, wy, and wz of (x + yw )2 –  ez  – 2 = 0  Make the solution…

A:

Q: Find the first partial derivatives. = x° – 9y Əz Əx Əz ду II II శశ శీ

A: Differentiate with respect to x  And y

Q: Differentiate implicitly to find the first partial derivatives of z. x² + xy + y2 + yz + z2 = 0 %3D…

A:

Q: 2. If the strength of a rectangular beam is a function of its width, height and length [e.g. kW H² ]…

A: The first order derivative mainly tells us that in which direction the function is going. That is…

Q: (b) Form the partial equation by eliminating function f from z = f(x?

A:

Q: Differentiate implicitly to find the first partial derivatives of w. x² + y² + z² - 7yw + 10w² = 9…

A: