1. y = x³ -x?

Q: a dy ピ+3

A: Given

Q: #33 Find y' if YX- XT= 16

A: Given:- y√x -x√y = 16 To find:- y'

Q: dy +y=e' xp

A:

Q: 4. Šolve Člairaut equation y = xy' – 2In(y' +1)

A: The given clairuat equation y=xy'-2lny'+1 s the first order nonlinear ordinary differential…

Q: Differentiate with respect to x: * 1 y = (1– x³) 2

A: Follow the procedure given below.

Q: 7) Suppose y varies directly with x. If y=2 when x = – - what is y when 2 X--0.3?

A: Given the data :

Q: 4. Calculate(Y/X)- – 2)* if: X = (; -) Y = (% ) z = ( ) (G Đ=z (F- )=« (4- )-

A: We will find out the required value.

Q: () Stany" (secx)"dx 4.

A:

Q: 32 8y%dy y-15 2.

A: The given integral is,

Q: If Ex; 20, Ex = 200 and n = 10 for an %3D %3D %3D observed variable x, then what is the coefficient…

A: Given∑xi=20∑xi2=200n=10

Q: . Then Var(X+Y+Z) is equal to:

A: Here x , y and z are independent variables  So covariance between them are zero

Q: 4) 8r dz dy dr

A: Solve the triple integral

Q: (11 Suppose that y varies directly with x. When x = y = 30. Find y when x 7. 5, %3D

A: Two variables x and y are given. Among these variables, y varies directly with x. From this direct…

Q: , y = X = t+2 t+2,

A: The solution of the problem is given in the next step.

Q: Ex; y* + 8y" + 16у %3D0

A:

Q: Differentiate y=2x/e^x

A:

Q: 2 16e2=" dr dy 0.

A: Given:- Evaluating the integral by reversing the order of integration ∫02∫y216 e2x2 dx dy

Q: 27) y"+2y'+ y = e", y(0) = 0, y'(0) = 0.

A:

Q: e*Vex-1dx ex+3

A:

Q: y(0)=0.5

A:

Q: - Determine the value of y when x = 0-1 given that y(0) = 1 and y =?

A: Given that: y(0)=1 and y'=x2+y

Q: Find dy/dx

A: Given: y=∫2a1t3dt To find: dydx Solution: We know that the derivative of a definite integral of…

Q: 4. I'e dz 5.

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Differentiate: *yーxy +*-ア=0

A: To Differentiate: x2y-xy2+x2-y2=0

Q: dy +y= x doc

A: Linear differential equation: - An equation with a variable, its derivative, plus a few other…

Q: Differentiate. ' a) y = 2cos(x²)

A: Hi, at a time we can answer only one question and the exact one was not specified. So, I have…

Q: Evaluate: ₂₁ (4x²y - z³) dz dy dx

A: We can solve this as follows:

Q: Se xye" dy, C. x- , y-, z- , 0 <te1

A:

Q: Sx² ex dx

A:

Q: dy de y =(x-1)(x+1) If x=3 equals ? then

A:

Q: 7. Solve: dy x + 3y dr 3x + y

A:

Q: dy dt = y(у — 4)(у — 8), до 20

A: see my solution

Q: 7. y Vzy dz + dy = 0

A:

Q: 6. If Jd2x* +x-a)dx = 24., find the value of a constant.

A: We have to find the value of a.

Q: 2₁ "+21y+8x=y" + 5y' + ex

A:

Q: dr = a(p- 1)(q-), dt

A: In this question, we solve the given initial value problem dxdt=α(p-x)(q-x)withx(0)=0.

Q: dy 12

A:

Q: у4у? -16у +19 dy (y-2)°

A: This indefinite integral can be solved by the substitution method.

Q: 16. (2+) y dy

A:

Q: In x y of y = 3

A: Find your answer below

Q: 5 +4y = 2 y(0)=1 dt

A: Given problem is:

Q: d) y" -ry +3y = 0 %3D

A: Using power series method.

Q: Sí Si (3x² + 4y³)dydx

A:

Q: dy dt 13.1 y – 13.94 y²; y(0) = 0.03

A: Given,dydt=13.1y-13.94y2113.1y-13.94y2dy=dt1y13.1-13.94ydy=dtintegrating both the…

Q: Evaluate: ₁³(x + y)³] dz dy dx S²³₁

A: A detailed solution is given below.

Q: S,12x – 3|dx 3. -

A: ∫04|2x - 3|dx In the limit 0 to 4, we need to open the modulus sign: fx = 2x - 3 = 0   ⇒ x = 32  So,…

Q: Evaluate ((x + sec² (Tx))dx

A:

Q: 3) If y varies directly with x and y is -6 when x is 2, what is x when y is -22?

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 10 1 y = 5 dt y(0) = -1 = 2 ot

A: