dy 7x3/2y = 0 using the technique of separation of variables. dx Goal: Solve 1. Separate the variables and integrate both sides. When we do so, we get the following equation (fill in each of the integrands): dy = dx 2. Carry out the integration of both sides of the equation in the previous part. Do not solve for y yet. Use uppercase C as your arbitrary constant or pick it up from the Vars tab, placing it on the right side of your equation. Also, at this stage, remember to include absolute value signs if the result of an integration involves the In function. Enter in your answer as an equation. 3. Solve for 'y' explicitly. Use uppercase K as your arbitrary constant or pick it up from the Vars tab.

Q: 3^2x=5 Solve.

A: Given information:The given equation is

Q: Solve                 2   =   X-500/ 85

A: Firstly, we add 500/85 on both sides  and then by adding 2+500/85, we get the required result.

Q: Solve  7z^2 - 42z = 0

A: Solution: The objective is to solve the given equation

Q: 9²=Hx %3D

A: 9x2=4x We need to solve the given equation.

Q: Solve 3x=14

A:

Q: Solve: 1/2x -3/5=2/5

A: We have given,

Q: Solve for x: 3* = 23

A: Given, 3x = 23  We have to solve for x.

Q: 15x* – 30Ľ x +7L = 0 ² %3D

A:

Q: solution r^3 = 36r

A: The given equation is a third degree equation. So it has 3 solutions.

Q: 6. Solve 6*+³ – 6* = 215

A: 6. To solve: 6x+3-6x=215

Q: X-X-30-0

A: x2 – x – 30 = 0Solve by completing the square.

Q: y" + 49y = 0 %3D

A: Given the differential equation y" + 49y = 0 The auxiliary equation is m2 + 49 = 0

Q: Solve 23x. 77 5x 4.2

A: Here the given problem is,              23x=4×25x We need to find the value of x.

Q: X^4-13x^2=-36 solve for x

A:

Q: Solve by using u substitution and factoring:  x+x^1/2-20=0

A:

Q: The sum of two numbers is 20 and the square root of their product is 9. What are the numbers? Solve…

A: To solve the system of equations using fixed-point iteration, we will express the equations in terms…

Q: Apply iteration method to find the negative root of the equation x³x² + 1 = 0 correct to five…

A:

Q: Solve for x in the equation 3x² = 48 Ox=4 Ox= -4 Ox=4,-4 x = 4,8 Ox=2,8

A: Solution:

Q: 2x2 こ0

A:

Q: Solve 3*+1=9*=27

A:

Q: Solve 1.12 x 10-11 / 2.23 x 10-12

A: The final answer is 112/223 Which is approximately 0.502242

Q: Please fast solve  -1/2n +(- 1/2n

A: Solution is done in step 2

Q: Solue forx 8tlogs (-4x)=10

A: Please see the answer below.

Q: Solve for x: 6* = 35

A:

Q: 3x 9*-4x 27°

A:

Q: solve 8/9x - 1/3= 5/6x

A:

Q: Solve  x - 0.001x = 9990

A: Given expression is: x-0.001x=9990

Q: If 2 = 100.301 and 3 =100477, solve 10* = 12 for x.

A:

Q: If 2* = 8*-1, solve for x.

A:

Q: Solve -5 -2 x = [²5 ²3²] * 31 x x' 8

A:

Q: Solve higher degree equations by factoring  m^3=64m

A:

Q: Solve 22 - 5- 2" +6 = 0.

A:

Q: Solve 15(−1t+2)^2+13(−1t+2)+2=0

A:

Q: Solve for x in the following equation 4x^2-25=37

A: Given :- 4x2 - 25 = 37Now, 4x2 = 37 + 254x2 = 62