What is the solution of the following equation: y(t) sin(t – t) dt = t Select one: a. f(t)=t?/3+t®/6_ b. f(t)=t+t³/6 c. f(t)=t+2t³ d. f(t)=texp(-t)

Q: 2x -1 If y-f and .1 + 'א. dy f'(x) - sinx".find - dx

A: NOTE: Refresh your page if you can't see any equations. . now substitute

Q: Verify the exactness of the given function (1+ex/y)dx+ex/y(1-x/y)dy=0 and then write the complete…

A: Solution: The objective is to find the general solution of the given differential equation

Q: = 5x- 14/15 dx Find the function y(x) satisfying and y( - 1) = - 7.

A: Given, dydx=5x-1415   and  y(-1) = -7

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A:

Q: Give the relation ln(y)+y=x2 find dy/dx

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Q: f (x) = 5.6 sin (2.6x – 4.2) – 9.1- What is the equation of the midline of the function %3D o y =…

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A: Given that a function  and we find derivative of this function with respect to x. Here we use…

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A: Use the chain rule of derivative and simplify the result.

Q: Find tan(t² + 5)dt. dx

A: To Find:

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Q: D. (a)S sec? 3x dx (b)S 2cosec2 4t dt 2cosec24t dt

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Q: (c) Find the value of √a²-x² Sa giving your answer in terms of a. 1+ 2(x + y) x² + y² dx dy,

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Q: d'y as a function of t if x t+ (a + B) (a+ B) (a) Find , y=t- t (6) t

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Q: 2. Determine the derivative of g(t) = 8°[(2t + 1)² + t].

A: Given that     g(t) = 8t[(2t+1)2+t]

Q: Find d dx x3 Stan(t² + 5)dt.

A: I have explained everything with in the solution. Please go through that.

Q: f(x) dx = 18 and f(x) dx = 3.7, find f(r) dr.

A: using property of definite integration

Q: dx Find F(x) = S 1-2x+ 2x2

A: Here we solve the integration problem.

Q: Activity S As your heart beats, it fills with blood and then pushes the blood out to the body, and…

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Q: (m) y = f (n) y = f x +3 V1-x² dx x² + 10x + 30 2 -dx.

A: Solve the following

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Q: Which of the following functions satisfy x²dy+ y(x + y)dx = 0 with y(1) = 1 ?

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Q: 3) Use FTC2 to find the following derivatives: a. b. d S [*cos(√2t) dt dx d dx >3 e5x tan ¹(√2t + 1)…

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Q: d (coth x)= dx

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Q: Find p, q if f,º f(x) dx – L f(x)dx = [" 5(x) dx. (Give your answers as whole or exact numbers.) p =

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Q: f(3x . dx + 1) when f(u) = sin(u). Calculate d f(3x² + 1) = dx

A: f(u)=sin(u) To find: ddxf(3x2+1)

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.