Question 8 Z=8x+12y subject to 4x+6y214, 4x+5y29, x>0, y20 y=? (2 decimal places) Minimize

Q: General solution of 2xydx+y^2dy=0

A:

Q: Show the solution of xdy/dx+2y=x^2 is y = x^4+C/4x^2

A: By arranging given differential equation we will get that it is of the form     y' + P(x)y = Q(x)…

Q: Show that ⊢ (x > 0) y = x + 1 (y > 1)

A:

Q: if y = secx prove that y^2+y=2y^3

A: Equation relates the number of variables combined together by algebraic entities using equality…

Q: Differentiate. y = In (6x? - 5x + 3) y' =O

A: Given: y=ln6x2-5x+3 We know that ddxlnx=1x…

Q: (3y" + y'-14)=3*256e768x - 1536

A: The given differential equation is  (3y" + y'-14)=3*256e768x - 1536

Q: Minimize Q = 4x^2 + 3y^2 where x + y =7

A:

Q: Differentiate. y=/3x² – 4 -3x y' = 3x - 4 3x y' = (3x2 - 4)-1/2 3 (3x² – 4) /2 3x V3x2 – 4

A:

Q: b) Evaluate: i) Sx(V ++x) dx -2 10 dx ii) J1 x(10+Inx)³ jii) Jo 1+x? dx

A:

Q: F"(x) = 6-18x, 0) = 9, 2) = 11 F(x) = 4x -3 +Ox+9 3p3 O Tyne h

A:

Q: Differentiate. y = In (4x² - 7x+9) y'=0

A: The function is The aim is to find the derivative of the function

Q: 8. Find the solution of the equation 1 z =- (p² +q°) + (p– x) (q – y) 2 which passes through the…

A:

Q: Find the solution of the equation z=1/2(p^2+q^2)+(p-x)(q-y) which passes through the x axis

A: Given: The given equation is z=12p2+q2+p-xq-y To find: The solution of the given equation when it…

Q: In the last part of step 1 for ds/dx, where does the 1 under the square root go? Why does it just…

A: Let's solve.

Q: Rewrite y = 3 * (8) ^ (t / 15) in the form y^ prime =a(1+r)^ t or y = a(1 - r)

A:

Q: Which of the following equation is a variable separable DE? a. (x + x^2y) dy = (2x + xy^2) dx b. (x…

A:

Q: (4x^4+x^3(y)+y^4)dx+x^4dy=0, Solve for HOMOGENOUS DE

A:

Q: 5. (D4 + 2D3 + 10D²)y = 0

A:

Q: Find y': ○ 4kx (2kx + 1)7 ○ 4k (2kx + 1)7 ○ 8k(kx² + 1)7 ○ 8kx(kx² + 1)7 y = 1/(kx² + 1)8 ; k…

A:

Q: Find the solution. dy x+5y=2x?y+ dx

A: We have to solve the given differential equation.

Q: dy + ydx %3D = 3x²y?dx,

A:

Q: Y"+y=secxtanx

A: Given, y'' + y = secx tanx This is a second order linear, non-homogeneous ODE. We can write the…

Q: 1 = felan(4x*). sec²(4x²)xde 2

A:

Q: Зу" +y=0.

A:

Q: äbäi 14 Q) Find dy/dx of the following :equation (x' +x)(x° - x +1) y = 17 KB/S dy/dx = - 4/x^2 O…

A: We use the Quotient Rule and  Product Rule of differentiation to find the answer of the given…

Q: Exercise 2 Eliminate the arbitrary constants of the following. General solution 1. y = cx + c + 1

A: We have y=cx+c2+1 Now, we see that there is 1 arbitrary constant "c" Differentiate y=cx+c2+1 with…

Q: What is the independent variable, order and degree of 5y′′−(y′)4=y^3sinx

A: Topic :- Differential equation

Q: Give an example of the following or prove that such a request is impossible: (e) Two divergent…

A: What is Sequence: A sequence is a collection of objects where repeats are allowed and the order is…