10. f(x) =-x2 +3x+ m, y 4-IOBI = 10CI %3D A(ABC) = ? B.

Q: Suppose that x and y are related by the equation Proportionality 1 dt. Vi + 4t² |Show that d²yldx²…

A:

Q: an integrating factor for the DE dy+ydx=e3x dx is  1)ex 2)x2 3)y 4)x 5)ey

A: To find an integrating factor for the DE dy+ydx=e3x dx

Q: Obtain the solution using Integrating Factors Found by Inspection y(x3y3 + 2x2 − y)dx + x3 (xy3 −…

A:

Q: How come it is 20y and not 20y^2/2 after integrating?

A:

Q: 16 (1.) 2XInX 2 dy/dx (2. if 4 = cosh 2 JX +1 %3D 213 dx (3.) 4+x2

A: Question 1 is solved by substitution method. Solving other questions are against the policy of…

Q: 5. 6. Sexcos2x dx |— S- dx 3 (x + 2)² − (x+2) ² -

A:

Q: Find integrating factor of the equation (x4+y4)dx-xy3dy=0

A: The given equation can be rewritten as   xy3dydx=x4+y4    ∴y3dydx-y4x=x3     Let y4=t…

Q: Find the particular solution for (2y3 – x³) dx + 3xy² dy = 0 when x = 1, y = 1

A:

Q: 3. Integration by parts: 3x d x (V3 2x+4

A: To find out the integration.

Q: 1. S 3x° + 2x3+7x - 4 dx 2. Sx7 – 48z11 3. S 10t-3 + 12t-9 + 4t³ dt 5z16dz -

A:

Q: Example 3: Estimate S, x² dx with n=4 by Midpoint Method. Solution:

A: Here first we will divide the integral range into 4 equal parts and then we will calculate the…

Q: -2x y" + (e by = 0 (e-* = z) -

A:

Q: 5. ft² √1-1³ dt 6. J (2x+3) dx (x²+3x-6)⁹

A: Given 5. ∫t21-t33dt6. ∫2x+3dxx2+3x-69

Q: Q6. Using Rule l-IV to find an integrating factors. (x² + y² + x)dx + xydy = 0.

A: Given- x2+y2+xdx+xydy=0 To Find- The integrating factor of the above differential equation.

Q: Solve the particular solution of 3y(x^2 - 1)dx +(x^3 + 8y - 3x)dy = 0; when x = 0, y = 1

A: The given differential equation is 3yx2-1dx+x3+8y-3xdy=0. The initial condition is x=0 when y=1. The…

Q: 8. ylnx – x In y = c - 9. y = ln (coth x) 10. y = sec³Vx

A:

Q: (A) Evaluate / (4x – 5) (4/x + 4x) dx. x² + 3x - 6 (B) Find dy -, if y = 3 -)4 when x = 1 %3D dx

A: *we have to perform integration operation in A & differentiation operation in B.

Q: Find the general solution for y' = x – 4xy using an integrating factor.

A:

Q: x³y³dy у2— 4у-21 (x – x4y)dy + (y + x³y²)dx :

A: See the solution and follow the step.

Q: d’y - 2 y = 5x' + In(x²). dx

A:

Q: Find the most general antiderivative. 2 7 dx X+1

A: By using integration formula, we calculate the given integral.

Q: Solve using the integrating factors by inspection (y²-3-x) dy + ydx =0

A:

Q: Integrate x2 e a) S- 2x -d.x 2 b) S- -

A: By using integration property, we calculate the following Integral.

Q: Find the particular solution from y(9x-2y)dx-x(6x-y)dy=0  when x=1/3 and y=5/2.

A:

Q: 15) 4S(5x)] = x² , then f'(x) = ? %3D dx

A:

Q: 4- S" e-x* dx 5- Vy e-y² dy

A:

Q: 3. fz √z dz 4. (2x² 3x + 5) dx -

A: 3. ∫zzdz4. ∫2x2-3x+5dx

Q: 17 (7+ x²^ dy when y = dx Find %3| 7 – x²

A:

Q: find dy/dx: (x+y)3+ (x-y)3=x4+y4 ?

A: The given equation is x+y3+x-y3=x4+y4. Find the derivative dydx using implicit differentiation as…

Q: 4. S 2z3 el-z dz 5. S Vx In(Vx) dx Vr3 6. Si, Inx dx

A:

Q: 2 4. S dy 1 y +y° - 3

A:

Q: Z eXZ 4. xyz dydx dz

A: Solution:

Q: 1. (2x -х-у)dx- хdy - 0; y(1) -о

A: Given that: (2x2-x-y)dx-xdy=0; y(1)=0

Q: 2, x cost dt dx А. 2 В. 0 С. 1 D. x

A:

Q: By differentiating x² – y² = 1 implicitly, show that d²y | dx² ||

A:

Q: 1,- X73X+2 dx (x+リ) Izafhinx dx Ax. Iォfュース alx dx X43X+2 X+1

A: Since, you have posted multiple, we will solve only first part. If you want solution of other…

Q: What integrating factor should be used to find the solution of the equation ydx + (xy + x- 3y) dy =…

A: Given that: ydx+(xy+x-3y)dy=0

Q: -2 3. Integrate: [8x°e"-2 dx = du - e* 4x°dx 2 du = dex?. 4x° dx 4 3 2ou 8 ex".x°dx

A:

Q: What is the solution of (x2+2xy-4y2)dx - (x2- 8xy - 4y2)dy = 0?

A:

Q: 1. Solve (6re",x0 b. [3cos 2xsin 7.xdx

A: here we have to evaluate  a) ∫-11w(x)dx if w(x)=6x2ex3,x≤035x-3 , x>0b) ∫3cos2x sin7x dx

Q: Sulve the dffeanlial equalion ly). clox Ylx)=16

A: Given:     dydx+y=16

Q: 3) Find d²y/dx² at the point (1, 1), if x6 + y6 = 2.

A:

Q: Hiw 2 4t é dt 2 O Sx Sečx dx

A: (1) Consider the given integral. I=∫csc3dx The reduction formula is defined as.…

Q: 3x 6 1 -In xy dx e-In √x dx +dy +=dx = e-mxx y X

A:

Q: Vaz x² S. (2) dy dx

A:

Q: 2. Reverse the order of integration of S Saz dxdy. y+2

A: The objective is to reverse the order of integration

Q: (b) Integrate x-³e-l/a², dx

A: Here we can find the answer as below.

Q: Show that the antiderivatives are equivalent.…

A: ∫6/(4 + 9x2)  dx = arctan 3x2 + C or arccsc √(4 + 9x2 ) / 3x + C We need to show that the…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.