3) Solve the Trig equation: tan(40) = 1 %3D

Q: а dx (x² + y?)

A:

Q: 2x(y+1)dx-ydy=0

A: We have,2x(y+1)dx-ydy=0 seperate x and y terms2xdx = yy+1dyIntegrate both sides∫2xdx =∫ yy+1dy =…

Q: e 4e2 -8e+5 dx

A:

Q: √ ¹ (1+√x)3 √x - dx

A:

Q: y' +y tan(x) = sec(x) %3D

A: Given: y'+ytanx=secx We know that general solution of differential equationy'+ypx=qx is given by…

Q: Rearrange the equation to isolate a. (*+:) d - e) = / a =

A: Given equation is a+bcd-e=f now we have to rearrange the equation to isolate a by moving the term to…

Q: dx 2. e2x+1

A: ∫dxe2x+1let ex=tan ydifferentiate O.B.Sexdx =sec2y dy∫1tan2y+1×(sec2y dytany)

Q: 4 х3 * tanx? * cosx dx 4

A:

Q: Solve the following using exact equation or linear whichever is applicable. 1. (х + у) dx + (х — у)…

A: 1. An equation of the form Mdx+Ndy=0 is exact if My=Nx. Here My is the partial derivative of M with…

Q: 6. [(2- tanxsecx) dx

A: The solution is given below

Q: dx x2 — 2х — 4

A: I=∫dxx2-2x-4=∫dxx2-2x+1-5=∫dx(x-1)2-52

Q: Solve the following equation by variation of parameters ? y" + y = sin x

A: Replace y" by m2  to obtain the auxiliary equation. equate the roots to α±βi to obtain the values of…

Q: 1. Solve, using the method of variation of parameters: y" + y = sec 0 tan 0

A:

Q: tan(r) y" + ?V + y =

A:

Q: +y = e=* sin x

A:

Q: Solve the attached equation by variation of parameters ?

A: d2ydt2+y=sec xy''+y=0m2+1=0m=±i α+βi, α=0, β=1 Yc=c1eαxcos(βx)+c2eαxsin(βx)Yc=c1cosx+c2sinx Y1=cos…

Q: – Só Si, sec²(rx³) dxdy

A:

Q: 5. Solve the equation (D + 1)y = sin x

A: 5 ans

Q: ds 1 s tan =cSC dt 2 2 2

A: We will find out the required general solution.

Q: 7. S sec' x dx

A:

Q: Solve the equation: dy dx - (cot x) · y = (cosec x) y

A:

Q: (V# + yi - 2)dx + +yi – 1)đ /x² + y² d- |

A:

Q: Solve the equation (2xy - tan y)dx + (x^2 - x (sec y)^2))dy = 0

A:

Q: Solve the D.E sec2x %3D

A:

Q: Finally, we substitute for u to write the answer in terms of x. Use C for the constant of…

A: ∫x3e7x4dx

Q: y² +4 -dy y 2.

A:

Q: (х — 2у)dx + (у — х)dy %3D C

A: Given differential equation x-2ydx+y-xdy=0 It is of the form Mdx+Ndy=0 Here, M=x-2y and N=y-x…

Q: Solve for x in the equation: arctan(2x) + arctan(x) = pi/4

A:

Q: 3 24) [(1 -x² )² dx

A: To evaluate the given integrals

Q: Só Sie VI+ y³ dydx =?

A: change the order of integration to to evaluate given integral.

Q: 1. Solve the equation. 3 = 5x* (6 +y°)' dx

A:

Q: Roughly sketch into the plot the solution that corresponds to m(0) = 0 mg. %3D

A:

Q: 3. (x + y – 4 ) dx – ( 3x – y - 4 )dy = 0 , when x = 4 , y = 1

A:

Q: 1 dx 5х e

A:

Q: NOTE: ANSWER E TO J ONLY. PLEASE DONT SOLVE ON EXCEL THANK YOU

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: S (1 – cot² x) dx b)

A:

Q: Solve the equations and simplify the final answer. 1. (2x– 3y + 4) dx + 3(x– 1) dy = 0; when x = 3,…

A:

Q: (y – cos?x)dx + cos x dy = 0

A: Simplify the given differential equation in the form of linear differential equation than solve…

Q: et dx (9 + e2¤)

A: Integration   by subsitution technique

Q: Find a value of x that satisfies the equation csc 155° = sec (x). %3D

A:

Q: find the Solution by variation:. y+3y-2= e Sint

A:

Q: (x-1) dx- ( 3x- 2y- 5 ) dy = 0

A:

Q: (х5 + Зу) dx — х dy 3D 0

A: Given :                          x5+3ydx - x dy = 0Divide both sides by1x dx   1x dx x5+3ydx - x dy…

Q: tan (2x)dx, (Use 2 decimal Let x 0.49 and y = 1.9. Determine the value of C when you evaluate digit)

A: This question can be solved using the concept of ILATE.

Q: 6. (2ху + x) dx + (x2 + у) dy 3 0

A: the given differential equation is: 2xy+xdx+x2+ydy=0 we have to solve the given differential…

Q: 1 dx, x3 – 1 (b)

A: a3-b3=(a-b)(a2+ab+b2) first we will do then partial fraction then calculate the integration.

Q: Given (x² + 2y)dx + (+ 2xy+ 2x) dy = 0. 3 i) Check the exactness of the equation. ii) Based on your…

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.