y = 2f(x) y y 10 10 5 5 X -4 -2 4 6. 10 -4 -2 2. 4 6. 8. 10 y y 10 10- 5 5 X X -4 -2 2. 4. 6 10 -4 -2 2. 4. 6. 10 co 2.

Q: 2y2 hat 2xy² + e³ = e. Then y' 2xy+ey

A: Answer is False.

Q: 5. y(x³e*y – y)dx + x (y +x³e*Y)dy = 0

A:

Q: 2. (8x+²)(8x-6) = 16 then x= 8 A. -8 B. О А ооо B О с co I m 3 с. ; D.3

A: The given expression is 8x+28x-6=16. Find the value of x. As we know exponent multiplies:…

Q: 3. YA x=y² – 2 ソ=1 x= e' y=-1

A: Solution Question 3  Given,  The curves  x = y2 -2    and   x = ey We have to find the area of…

Q: f (x+2) In (x+2) - 4 tc (x+2) Xt *+ 2

A:

Q: 2x" + x' + 8x = t+1 t±¹, x(0) = 1, x'(0) = 0.

A: given 2x''+x'+8x=t+12 with conditions x0=1 , x'0=0 solve the equation using method of variation of…

Q: Find dx 1. y = x* 2. y = x7 3. y = -0.5x 4. y = -3x 5. y = 7 6. y = 12 7. y = 3x10 8. y = 2x15 9. y…

A: Authoring guidelines:…

Q: If x2 – xy + y? = 3 find y" (second derivative) 18 12 12 18 A. В. С. D. (x- 2y)* (x- 2y) (x - 2y) (x…

A:

Q: y 3.0f (1, e) 2.5 2.아 y-e* 1.5 1.0 /y = xe² 0.5 -1.0 -0.5 0.5 1.0 1.5 2.0

A:

Q: 5. (1+2xVx2 - y² )dx-(2yVx2-y? )dy =0

A:

Q: (a) f(x) = (2x – 1)*(3x – 2)³ (b) f(x) = [(x – 3)(5x + 1)]³ (c) f(x) = Vx cos ((3x + 2)²) %3D CoS…

A:

Q: 3. (2 + y² + xy2) dx + (x²y + y + 2xy)dy = 0

A: As per the guidelines I can solve only one question

Q: 10. (x2+y)+(x+ey)dydx=0

A: We have given the equation;

Q: 2 4-x xey – dy dx 4- y b. 0 0

A:

Q: Solve the following D.E 1) xy" – y2 – 2y' = 0 2) y³y" – 3y*y' = 0 3) yy" – 3y = 0 4) y?y" – 2y' = 0…

A: AnswerGiven differential equationxy"-y'2-2y'=0 --(I)Let w(x)=y'(x) which gives w'(x)=y"(x)

Q: y"-y=3t+5 when y(0)=0, y'(0)=0 * O y = e^t + 4e-t - 3t - 5 O y = 4e't + e^-t - 3t - 5 O y = 4e"x +…

A:

Q: y(r -3)2 dr- 3xe dy 0 4 (x - 3)2 - 18 y+ 18 y e 9 = O e (2 y + 2 y + 1) = c 1/2 3/2 O 4 (x - 3)2 + 9…

A:

Q: Ive the initial-value problem for y as a function of x. (x² + 36) dæ 1, y(6) = 0

A: Given that: (x2+36)dydx=1        and  y(6)=0

Q: 11. y=2– x 1-xs ys2-x y =1-x || ex+2y dA =}e(e + 1)(e – 1)2

A: Given

Q: y 8 6 4 2 y = 3x+1 2 J C 4 y = 8 - x 8 CO X

A: Given query is to find the area under the curve.

Q: The nh³ (2x) sech (2x) dx is equal to O A. sech³ (2x) sech³(2x) +C 3 10 O B. tanh°(2x) +C OC. sech³…

A:

Q: 2xydy + (y- 3x-)dx = 0;y(3) = 2 O xy² - x³ = c O x³ 2 – xy² = -15 Ox* - xy? = 15 O x³- xy? = c

A:

Q: 18. If x? – xy + y? = 3 find y" (second derivative) %3D 18 12 12 18 В. (x – 2y) C. (x – 2y)² A. D.…

A: Given:- x2 -xy +y2=3 To find:- y''

Q: [x?-5x)e dx Find | O (5x- x2)e* - (5-2x)e*-2ex | O (x² -5x)e--(2x-5)e-+2e¯* O (5x - x²)e*-(5 - 2x)e…

A:

Q: If x3 + y3 +x =27xy Find dy/dx if x=-2 and y=2

A:

Q: 9. (y³+4)√1- cos² (y4 + 16y) ». f (y ³. cos(y¹+ 16y) () 2. dy

A: Answer of the above integration is

Q: In each of Problems 27 through 32, solve the initial valueproblem.

A: According to the given information, it is required to solve the initial value problem of:

Q: 6. y" – y – 6y = 0, y(0) = 1 e y'(0) = -1. 7. y" – 2y' + 2y = 0, y(0) = 0 e y'(0) = –1. %3D

A:

Q: Can you help me step by step?

A: The given equation is,

Q: dz in the function xyz + 5xy = x² + y? + ? Find А. dz 2у — х2 — 5ӕу - xy – 2z - dz 2x – yz – x2 - В.…

A:

Q: 7. If y = e*², then d²y dx2 boins9 (A) (2x)(x² – 1)e*²-2 stod beniu (B) ex2 (C) 2xe*2 (D) (2 +…

A:

Q: Find the function y(x) satisfying -8/9 = 6x dx and y(-1) = - 4. dy :-8/9 The function y(x)…

A: Integrate the equation dydx=6x-8/9 with respect to x.…

Q: 2. fr (x, y) 1/8 1/4 y -1.0 -2 -0.5 -1 0.5 1 1/2 1/8 1.0 2 Find the E (X), E(Y), V(X), and V(Y).

A:

Q: 1. y" – 2y' = sin 4x 2. y" + 6y' + 9y = 1+x 3. y" + 2y' + y = xe-* 4. y" + y = e* + x3 y(0) = 2;…

A: 1.) y''- 2y'= sin4xAuxiliary equation is m2-2m=0⇒m(m-2) =0⇒m=0, 2y(x)= c1+ c2e2xPI= sin(4x)D2-2D=…

Q: 4y" + 2y' + 5y = e=t y(0) = –1 y'(0) = 0

A:

Q: f(x) %3D (х + 1)"- 9 h(x) %3D 2(х + 2) (х — 4) а. с. g(x) = (x – 1) – 9 b. d. none of thеse 10 8 4…

A:

Q: 2 16 12y dx dy Vx +y? 0 4

A:

Q: 0.2 X = -2 0.1 X = -1 0.1 X = 0 Px(x) = {0 X = 1 and X = 2 0.3 X = 3 0.3 Х—4 Y = |X|+1 if E[Y] =? ve…

A:

Q: If y = Eo (k + 1) æ*+3 then y' = E. 00 k=0

A:

Q: 2 3. y' + ²y = -x²y²cos x

A:

Q: Find y". y = 6+ 8 2 3 O A. 6+ x2 X 24 2)2 16 3 O B. 6 + - X 2 6 + - X x2 48 2 3 16 6 + x3 OC. 6 + x4…

A:

Q: 7.x(x² – y² – x) dx – y(x² – y²) dy = 0 when x=0, y=0

A:

Q: 4. (D³ + 1)y = xe2x 5. (y" – y) = e-× cos(3x) 6. (D² + 1)y = - 7. (D5 – 5D3)y = 24 \マ 3

A:

Q: 11. y" – 2y' + y = e', y(0) = -2, y'(0) = 2, yp(1) = Įře' %3D

A:

Q: y"(x) – 4y '(x) + 4y(x) = 4e²x; y(0) = -1, y'(0) = -4 Answer: y(x) = e?x (2x² – 2x – 1)

A:

Q: y x = y - 2 y = 1 x = e -3 -1 1 2 4 | y = -1 3. 3.

A:

Q: exy2z 1. Given yz x²y + y²z+10=0. Find 2.

A:

Q: dy Solve: +y = xy21 dx 1 + Ce20x 20 O A. Y = x+ O B. Y -20 = X+ + Ce21x 20 1 Ocy 20 1 = -X- + Ce 20x…

A:

Q: 4.1+ ež - ) ež + (ež )y' = 0 ex + (ex )y' = 0

A:

Q: 1- find y' for y =5x-3/x^2+2x. 2- find y' for y=(1+x-x^2)e^x.

A: 1- find y' for y =5x-3/x^2+2x. 2- find y' for y=(1+x-x^2)e^x.