5. Solve for 0

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A:

Q: y" + 3y' + 2y = e¯ 2« – 10 sin(æ) - 10 -2x -

A:

Q: Solve for the general solution of (cos x cos y – cot x)dx – (sin x sin y)dy = 0.

A:

Q: 211 211 sin mx sin nx dx = 2 [cos(m-n)x- cos(m+n)x]dx 0.

A:

Q: 9. Use the Secant method to find an approximation to the solution of sin(x) - e-* = 0 in [0, 1]…

A:

Q: 1. Calculate for one real root of tan x = 4x with 0 = 1.2 co up to four decimal places using the…

A: We need to find one real root of  tanx=4x with initial guess x0=1.2 upto four decimal places using…

Q: a 1 - x²) cos(nx) dx F(x 一九 4 sin(nл) — 4nл соs(nл) — 2n²л² sin(n) πη3

A:

Q: Find all the solutions to sinh z = 0

A: Introduction: There is an exponential expression for the hyperbolic function. The expressions for…

Q: Solve for 0 if 0° < 0 < 360° V3 sin 0 Cos e =1

A: We multiply both sides by 1/2, then use the formula sin(A-B)=sinAcosB-cosAsinB

Q: 6. Solve y sin (x) cos (x) with initial condition y'(7) = 1 and y(7) = 0.

A: y = 1/4 [ x - 1/2 sin2x] +x -π/4

Q: The solution of sin'x + 2sinx - 3 = 0 on 0°Sx< 180° is:

A: ⇒sin2x+2sinx-3=0⇒sin2x+3sinx-sinx-3=0⇒sinx(sinx+3)-1(sinx+3)=0⇒(sinx-1)(sinx+3)=0⇒sinx-1=0  OR…

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A: Given, f= e2-xsin-1(2y) To find, df/dy.

Q: Find the solution to the equation sin x - 1 = 0 on 0 s ¤ < 2

A:

Q: Solve for the first-order DE: y’+y-y^2(cos2x-sin2x)=0

A: Solution: A first-order Bernoulli ODE has the form of y' + p(x)y =q(x)yn Rewrite the form of…

Q: Suppose that 3x² - y² = t² and y=tsin 0. Find (27). = sin e 0 X = 0 and

A: Given 3x2-y2=t2 and y=tsinθ

Q: 4. Evalaute cos(x) sin(x) dx

A: Given:

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A: We need to find out the general solution of the given differential equation.

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A:

Q: 211 211 4- Cos nx sin nx dx sin 2nxdr 0.

A: The detailed solution is as follows below:

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A: The solution are next step

Q: 2. Determine one real root of 8 (sin x) e¯* – 1 = 0 with xo 0.30 using three iterations of…

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Q: sin x – e-* = 0, [0,1]

A:

Q: Find a particular solution to y" +4y = - 12 sin(2t).

A:

Q: a. Solve for real x, in the equation sinh 2x – 2 cosh 2x + 2 = 0. b. Express tanh x in terms of e*…

A:

Q: sin y = cos x (2 cos y– sin²x)

A: Given siny dydx = cosx (2cosy - sin2x)siny dydx -2 cosy cosx = - cosx sin2x…

Q: 211 211 4- Cos nx sin nx dx sin 2nxdx 0.

A: We know that: Sin 2x = 2sinx.cosx

Q: Show that the equation ln x =1– sin 7x has at least one solution in the interval [1, e].

A: To show: That at least one solution of equation ln x=1-sin πx lies in the interval 1,e. Formula…

Q: 1-) L [ 2 sin ½ t cas ½ t) {

A:

Q: 5) S V2 + sin 3t · cos 3t dt

A:

Q: Find the complete solution of ey sin x dy cos²x = 0 dx

A:

Q: 4. Find a general solution to the equation y' – 3y = e" sin(2x). -

A:

Q: In( cosh(3x)+sinh(3x) )= Select one: O 3 sinh(3 x )+ 3 cosh(3 x) O- 3x 01 zero None O 3x

A: Formula to be used sinh x = [ex– e-x]2cosh x = [ex+ e-x]2

Q: 25. æ sec (a²) tan(æ²) dæ | sin? x dx (Hint : cos (2x) 26. 1 27. dx 4- (ӕ — 1)? 1 dx 9x² + 25 28. dx…

A:

Q: 1. Consider 3x + sin x – e* = 0, using Secant Method with initial points xo = 0 and x1 = 1,…

A: The given equation is; 3x+sinx-ex=0.

Q: 3. x = 2 cos(3t) – 4 sin(3t) and y = 3 tan(6t) at t = 2

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Q: (27) Solve (1+y²) | n = (tan'y-n)·dy

A: The general solution geometrically represents an n-parameter family of curves.

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A: Solve the problem within the domain first find the inverse and then solve.

Q: - Tt/2 2 cosx dx 1+ (sin x)2 -T/2

A: Using substitution: So the limits of the integration would be given by: And

Q: 1 a) 1+ sin(x) xp- Vtan (x)dx

A: a) Given integral is ∫11+sinxdx

Q: 18. S sin xdx 2-cos² X

A: The given integral is: I=∫sinx2-cos2xdx    ...1 As we know the common integral; ∫11-x2dx=sin-1x+C

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A:

Q: 4. Solve the given nonhomogeneous( or undetermined coefficient( O.D.E by variation of parameters (3)…

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Q: Can i get help step by step?

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Q: The result of solving the integral x' tan(x²) dx is: A) Inlcos(x) +c B) tan(x)-+ In/cos(x²)|+c D) +1

A:

Q: 1. f(x) = In 5x 2. у %3D 103х Final Answer: Final Answer: 3. y = sin(e3×) 4. у %3 cos 2x (e**-1)…

A:

Q: Find the General and Particular solution of = 8 sin 4x ; y= 6 when x = 0 dx Find the General and…

A: The given equations,1.dydx=8 sin4x ; y=6 when x=02. dydx=4y ; y=3 when x=0

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A:

Q: 211 211 4- | Cos nx sin nx dx % sin 2nxdx 0.

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.