4. Evaluate the double integral by using change of variables r2y+3 -y x+y x-2y dx dy, (x - 2y)²° u= x - 2y, v=x+y.

Q: find dy/dx

A:

Q: dy using implicit differentiation: 4x°y² – /æ +3y = 57 Find dx %3D O dy -20z'y² + }a¯1/2 8r°y+ 3 dz

A: Given,            4x5y2 -x + 3y =57

Q: Find the integrating factor for the First order leaner DE- x² ay +4xy=2x³e¬*? dx e 2x2 e 4x or

A:

Q: (10) Find x²e*y dx dy. (Hint: Reverse order of integration.)

A:

Q: 2=7 ry=2 FRE y=0 z=0 •x=√√/4-y² x=0 1 z+1 dx dy dz

A: To find the following integral. ∫z=0z=7∫y=0y=2∫x=0x=4-y2 1z+1 dx dy dz

Q: 2. / x + 4x x + 4x +13 dx

A:

Q: complementry function for this DE  12.7y" + 68.58y' + 153y = 0.289(y+1)

A: Given is a differential equation:12.7y''+68.58y'+153y=0.289y+1To find the complementary equation of…

Q: Convert the following diffrential equation into an integral equation : d'y + Axy = f(x), y(0) = 1,…

A:

Q: Find the integral 17T dx 2+18 1 는시17x + 18+c 17 1 18x - 18 +c b.

A: Solve by substitution integration method

Q: Find the total differential. 7x + yl 10z - 5y W =

A: *Note – when finding the partial derivative w.r.t one variable, other variables consider as…

Q: S(1- cos )´sin ź dt, u = 1 – cos 4. U = V5x+8' dx ,u 5x + 8

A:

Q: can you please help

A: