12. Find the critical point y = x sin-x+ -x? %3D (1,0) O 1.-1) O (0,1)

Q: у" — у' — х*е* + 5 + сos x

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Q: 4. (x² + y² + x) dx + xycy = 0

A:

Q: x²y" − x(x + 2)y' + (x + 2)y = 0, 0 < x

A:

Q: 1. Let y = x2 + x +4+ Find y'.

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Q: 10. (D² + 4D + 5)y = 10; when x = 0, y = 0,y' = 0 %3D II

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Q: ,(x) = (x-x+1) y'(x)+3y'(x)+9 y(x) = 5x' +1 true false

A: False

Q: 17. Derive A) f(x) = 10x* –- 32x + e² %3D B) y = e-* sin x

A:

Q: 2) (x² – 1)y' + 2y = (x + 1)²

A: Solve the following

Q: Writing Systems in Matrix Form. In each of Problems 1 through 8, state whether the given system is…

A: Solution:-

Q: 5. (3x-17) dx / (x² - 6x + 10) 11

A: As per our guide lines we are supposed to answer only one question. Kindly repost other questions as…

Q: 5.) You can use technology for this problem, keep calculations accurate to at least 10 decimal…

A: Given differential equation is y' = x2y,   y0=1,  h=0.1 Take   fx, y= x2y  then y' =f x, y initial…

Q: Q1: Find dy/dx for the following functions (solve four only):-

A:

Q: Find P.S. of (16x +5y) dx + (3x+y) dy = 0 If the curre to pass thru the point (1,-3)

A: Since you have asked multiple questions so as per guidelines we will solve the first question for…

Q: (1+x2) y + 8xy' +6y=0

A: We have, This differential equation doesn't have a constant coefficient for the second derivative is…

Q: Find y' in y=sin¹ (5x5+2x) + Tan-¹ (x²) 1 1 1+x² -(5x5+2x)² A. y' B. y' C. y' D. y' = = 25x¹+2…

A: Given:y=sin-1(5x5+2x)+tan-1(x2)       y'=dydx=dsin-1(5x5+2x)+tan-1(x2)dx…

Q: (3x² − 2xy + 2) + (6y² − x² + 3)y′ = 0

A:

Q: 8. x(x² + 1)y' + 2y = (x² + 1)³

A: Given problem:- xx2+1y'+2y=x2+13

Q: 6.Given y'a = -2x³ + 12x² 20x + 8.5, y(0)=1, h=0.5 find y(2) using the 2nd-degree RK - a. 3.37500 b.…

A:

Q: 2. Show that g(x)= *** has a unique fixed point in [0,1] and find an approximation to the point that…

A:

Q: Q7// find the general solution (sin-1x + 1 y)dx + sec-1xdy = 0 1 xVx² – |

A: The detailed solution is as follows below:

Q: Let 2² + y? = 1 and y(0) = 1 Then y'(0)= none of the listed here 1 -1

A:

Q: 2. Solve for y in the equation y = e* sin x + e* cos x – y +c 3. Solve for f e* sin x dx in the…

A: Given, (2) y = exsinx +excosx -y +c  We have to solve for y (3) ∫ex sinx dx = ex sinx + ex cosx -…

Q: x' + 2x+2 y" – 2y' + y =

A: As per Bartleby guidelines, for more than one question asked, only one is to be answered. Please…

Q: Use separation of variables to solve the differential equation explicitly for u. du dt = 3 + 3u + t…

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Q: 9. Which of the following equations are separable? Write those that are separable in the form y' =…

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Q: (1+x2) y' + 2xy - 4x2y3 = 0 (Bernoulli)

A:

Q: Q2-5 * Solve the he (D-3D+2)y(x)= sin(e™") equation

A: