Find the solution of the differential equation y" = y(y')? - (y')3. %3D O a. y = 1 +In(y) +c O b. x = y - ln(y) + c O c.y= r+In(x) +c O d. z = y+ In(y) +c

Q: 2xy'-y= Iny'

A: Given,

Q: y = V In(5x + 7)

A: In this question, we use the chain rule to find the derivative of the function .

Q: y²y" = y³(y')² – yy'

A:

Q: Determine whether the differential equation is linear а. х- у 3D ху 1 b. y' = y c. y' = xy? = Vx d.…

A:

Q: Given the differential equation y' = 4x y Find the next two Implicit derivatives of the differential…

A: The given differential equation is y'=4xy ............................................. (1)…

Q: 5. Find the solution of the differential equation y =- xy + xy³ (Bernoulli)

A:

Q: y' + xy = 6x/y %3D (6+ Ce y= (6 + ce) = (6e+c)* - y = %3D 2 6+ Ce4 x² - y = %3D 2. . y%3D (6eT + C)

A: Given Bernoulli Differential Equation, y'+xy=6xy

Q: Form a differential equation by eliminating the constants for y? = 3ax O y? - 2y'x = 0 O NONE o y? –…

A: Given y2=3ax

Q: x = c, e" + cz e- 21 e" O x"- 2x'- 3x 8 e O x" + 2r'+ 3x = 8 e' O x" - 3x'- 2r 8 e O x"- 2x'+ 3x = 8…

A:

Q: Compute y' and y". The symbols C₁ and C₂ represent constants. y = C₁ex sin x + C₂ex cos x y'(x) =…

A:

Q: Find the particular solution of the differential equation given that, when x = 0, y =-4 and Q3 *…

A:

Q: The differential equation of y = 5bx2 + c after elimination of the arbitrary constant b, c is O y =…

A:

Q: 3ydx What is the general solution to the differential equation 3dy + = y*(2x*)dx ?

A:

Q: Find y'. y = V In(7x + 5) y' =

A: Given the function y=ln(7x+5)         ........(1)

Q: e* solve the differential SORU 2. y"-y' =; e* +1 equation

A:

Q: Tell whether each of the following questions is biased or fair. Why? a. What type of music do you…

A: Part(a) The correct option is option A. Because in option A has the  question does not make an…

Q: y = xy' – 2(y')² + 3

A:

Q: 3. y' + y = y2 A. y3 = 1+ Ce3x B. y3 = e-3x + C C. y3 = 1+ Ce-3x D. y = e3x + C

A:

Q: Find y'. y=(4x-4)(2x+1) OA. 16x-2 B. 8x-4 OC. 16x-12 OD. 16x-4

A:

Q: The amount y of the drug Warfarin in a patient’s body after t hours satisfies the differential…

A: We have to find the time and the rate of dissipation of the drug increase or decrease.

Q: Let y = e¯* (Acos(x) + Bsin(x)) be the solution of the initial value problem for the differential…

A:

Q: 4 3. Find the general solution of y”. y + I 6 12 y =

A:

Q: Find y'. O A. 2x+ O B. 2x- ОС. 2х+ -| -| |

A: we have y=x+1xx-1x

Q: Which of the following is the general solution to the differential equation 4xy -x2-y" dx for x 0?

A:

Q: Let y = e¯* (Acos(x) + Bsin(x)) be the solution of the initial value problem for the differential…

A:

Q: Find the differential equation of a family of parabolas with an axis parallel to the x-axis. O y"y –…

A: Option A

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.