Find the solution to x' y – x +t y' if æ (0) = 2 and y(0) = 6. x(t) = help (formulas) y(t) = help (formulas)

Q: y" - 3y' + 2y = 2x² + ex + 2xe* + 4e³x

A:

Q: If y = (9x + 5)x, find y'(1).

A:

Q: Find y'' in y = x(2x + 1)4

A:

Q: Q2: find y' y= 33xelnx2

A: y=33xelnx2 We know that elnx2=x2 Now ,y'=33xx2 Differentiate using the product rule…

Q: y' + (=) y = xy²

A:

Q: 3. y'+7=(-2x+ y)';y(0) = 0

A:

Q: Find y" * y" at (1,1) of x'y =1

A: We have to find derivative

Q: solve given IVP showing details of your work,   y^iv  +3y'' -4y=0;  y(0)=3,…

A: solve given IVP showing details of your work,   y^iv  +3y'' -4y=0;  y(0)=3,…

Q: Find the ditterential of the function y = (x + 1(5x - 3). Sx-x-5 dy = (Sx - 3) *?+ 6x-5 (5x- 3)? dy…

A: Use the quotient rule of differentiation ddxuv=vdudx-udvdxv2. Power rule of differentiation…

Q: Differentiate. Y(u) = (u-2 + u-3)(u5 - 6u²) Y'(u) = %3D

A:

Q: Find y' and y "   y =x2In(2x).

A: Given: y= x2ln2xDifferentiation Formula:ddxlnx=1xddxxn=nxn-1ddxuv=uv'+vu'

Q: maximum point of y x – 2

A: Condition for Extreme Value: A continuous function fx, y has extrema at a, b if fx=fy=0 at a, b…

Q: Find y'when ye2x = 3y+ x and y(0)=3 (A) -5 B B -6 (© -4 D) -7

A: We need to find y'.

Q: Find y' y = 3x-2 2x+3

A: Given Functiony=(i) (ii) (iii)

Q: Find y in terms of x. dy 2=x* (32 - x). curve passes through (2,2) dx The solution is y=|

A:

Q: _____18) Find y' if y= 6+x √4-x²

A:

Q: Find y' and y" for x² + 2xy − 3y² = 41. Simplify. -2x - 2y 2x - 6y y" = help (formulas) y' help…

A: Given query is to find the second derivative of the expression

Q: can you explain if this is true or false if y=x2+y2, then y'= 2x+2y

A:

Q: Inx+1 dy will be dx If y = then 2x3 – 3x' (2x³ – 3x) +1) –- (In x + 1)(6x? – 3) А. (2x³ – 3x)² (2x3…

A: Using derivative rule of (u/v),

Q: - 4. 3y(x² − 1)dx + (x³ + 8y − 3x)dy = 0; when x = 0, y = 1

A:

Q: Determine the equation whose y'= Y/3x. 3x2 = y3 A 1 у? y= 3 x2 © x² = y3 1

A:

Q: y(t)=(2t-1)(5t-5)^-1, find y'(t)

A: Using Quotient Rule of Derivatives

Q: x+1 Solve y'=- y +1

A: Differential equation

Q: Find y '  if  x  3+ y 3= 6xy

A: Given: x3+y3=6xy for finding y', we differentiate given equation with respect to x so,…

Q: 10. y'+y = 3x³ + x; y(-1) = 4 су 3 3х3 + х; у(-1) %3D4

A:

Q: Find y' if y = (4 + 1)15z+17

A: