sin(1) Suppose F(x) = dt. Use the Fundamental of Theorem of Calculus to calculate dx (F(x). 9+1 (F<) = %3D dx

Q: dy - sin x - y tan x = 3 e dx solution of differential equation is %3D

A: Introduction :

Q: integral (cos(x)^1/2)dx

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Q: 10. [x'sin(x')dx 11. [x sin(x)dx 12. [sin(x*)dx 13. ſe* dx 14. [xe* dx 15. [cos (x)dx

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Q: 18. What is the integrating factor of the differential equation y' =cscx-ycotx ? a. tan x C. sinx b.…

A: This is a question related to differential equation. Based on the formula of integrating factor we…

Q: find the general solution of the differentialequation and check the result

A: Given: dydx=2x-3

Q: |x In x dx 2. x3e3x dx 3. tan-1x dx / e* cos 3x dx 4. 5. fx*sin 3x dz Scos"1. Vx dx 7. sec-1. Vx dx

A: I have solved first three parts  For other parts please repost question It's bartleby guideline

Q: Solve differential equation  [Sin(xy)+xycos(xy)+2x]dx = [x^2cosxy+2y]dy

A: GIVEN : (sin(x,y)+x y cos(x,y)+2x)dx+(x2cos(x y)+2y)dy=0 let P(x,y)=sin(x,y)+x y cos(x,y)+2x  and…

Q: Solve the differential equation. cos x dy/dx + y sin x = sin x cos x

A: Simplify: Divide by cos xdydx+ysin xcos x=sin x cos xcos xdydx+y tanx=sin x

Q: d3x t dt? dZx 2 dx 2 at 3

A: Higher-order homogenous differential equation: - Higher Order Linear Homogeneous Differential…

Q: i) Solve the differential equation dx +tan x tan y = cos x secy.

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Q: 2х -1 dx Integrate dx by using substitution method. e*-x+1

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: dy +(cos x)y = sin²(x) using first order linear differential equation. dx Solve (sin x) %3D

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Q: a. Verify that the function y = cos x - sinx + x² - 2 is a solution of the given differential…

A: As per the rules we are supposed to answer the first question and rest can be reposted.

Q: Example: Show that the functions: x=- - sinh and y: sinh- V3 3 dy dx dy ii ) dt dx Taken together…

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Q: 3e"dx 3x 1. 3x – 16 2. x 10 – 3x°dx 3. / In (cos®) an@ de 3.

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Q: Solve the differential equation by variation of parameters. y"+y = n²(x) xx) = c₂cos(x) + csin(x) +…

A: The solution is given as

Q: 2. Solve the differential equation dy -e2y-cotx tan x dx

A: On differentiating the given equation, tan2 x.dydx=e2y.e-cotxe-2ydy=e-cotxtan2x.dxLet, cotx=t…

Q: For an exact equation, Show that this differential equation cos(x+ y)dx= (3y² +2y+ cos(x+ y))cdy = 0…

A: We  are given the differential equation : cos (x+y)dx+(3y2+2y+cos(x+y))dy=0 On comparing with :…

Q: sin x) sin(x) +1 dy What is the general solution to the differential equation dr A y= sec(x) tan(x)…

A: Given : Differential equation dydx= sinxsinx + 1   To find : General solution for the given…

Q: (b) by using gamma function x-1/3e-Bx dx

A: Gamma function

Q: 2x^ + xt3 dx x+ x a. In lxl+Ź In Cx t1)+ tan-"c) tc b. In \xl-Į m (x2+1)+ tan-' Cx) tc in e, wone

A: The integration of the integral is  (2x2+x+3)/(x3+x).

Q: differential solution.. dy/dx= 2x, what is why?

A: given,           dydx=2x

Q: R(x) = F/2 π dx

A: We have to evaluate the integral: R→x=∫0π/2sin2x3x+1, lnx2-1,xx2+1dx   .....(1)

Q: -2.1 1- e* Use Simpson's rule to approximate -dx. x² + 2x – 1 1.2

A: This is a problem of numerical Integration.

Q: y^2dx + (x^2 + 3xy + 4y^2)dy = 0; when x = 2 , y = 1

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Q: Evaluate the given differential equation (1+ cosx)y' = sinx(sinx + sinxcosx - y) a.y = x - sinx + C…

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Q: 2. Find using implicit differentiation. Enclose final answers. dx (a) 4x³y² + x¹y³ = x + y = 0 (b) x…

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Q: 5. а) Find the derivative of y = (cosh r)*. Show that the function y = e -2" (sin 3x + cos 3.x)…

A: we have to find the derivative of the function y=(cosh x)x2

Q: dy cos x + (sin x)y = 1 dx

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Q: Find dy/dx by implicit differentiation and isolate dy/dx: 16. xy = sqrt{x^2+y^2}

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Q: Solve the differential equation:  dy/dx= tan2(x). The curve passes through point (0, 0).

A: Express the tan^x=sec^2x-1 and integrate

Q: ind solution of order differential equation  dy/dx=cos^2(x-y+1)

A: To the find solution of order differential equation :-

Q: 1. x In x dx 2. x'e-3* dx 3. tan- x dx sin Vx 4. dx

A: Since you have asked multiple questions solving first 3 questions. Please repost other problems.

Q: 2xy cos(x^2) - 2xy + 1]dx + [sin (x^2) - x^2]dy = 0

A: Note : “Since you have asked multiple question, we will solve the first question for you. To get…

Q: Vsin x.cos x 1+ 2.ln x 3y (аns.: 4

A: Given                   y43= sinx cosx1+2.lnx

Q: Linear Differential Equation: dy 1. Solve dx = 1+ 3y tan . 2. Solve ydx – (eY + 2xy – 2x) dy = 0. -

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Q: dy 2. sin x + y cot x dx

A: We will solve the differential equation as following.

Q: A differential equation and its slope field are given. Complete the table by determining the slopes…

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Q: Solve differential equation (2y cos y - x sec y - x tany)dy = (1 + sin y) dx

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Q: dy B)Solve differential equation dx -(sinx+cosy) y²-x siny

A: Exact differential equation

Q: Stion 5 Solve the differential equation: y'+y cot x = csc x y = csc x ( In csc x - tan x +C) y = sec…

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Q: A differential equation and its slope field are given. Complete the table by determining the slopes…

A: Given that, dydx=tany6

Q: linear differential equation dx/dy=1+2xcoty

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Q: 3e° 3ecsch 3x 11) -dx sinh 3x tanh 3x

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Q: 1. S(e2x – 1)3 dx 3. S sin 2x (sin®x + 1) dx 2. S(x6 – 3x²)ª (x5 – x) dx -

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Q: 3. sin y(x+sin y)dx + 2x² cos ydy = 0 0: uhen v-2

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Q: 1. S(esin *cos x – acos 2x sin 2x)dx 2. S(etan x sec x- esecx tanx)sec x dx 3. S dx xvax - 16 3x-2…

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Q: tan-1 (xy)=3x2+sin-1(y) find dy/dt

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Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.