Classify each of the following Differential equation and Complete the table. Solution: Sr. Differential Ordinary Linear Order Degree Dependent Independent Equation or or variable variable Partial Non- | Linear 1 y" + yy' = 3 2 y' = cosy + y – x du dw + w2 ax 3 dz y" - x²y' = sinx d*y d': Cosx-h2y dx 5 dy d'z z. e dx dx2 6

Q: Find dy/dx implicitly for the equation sin y = x. Then find the largest interval of the form −a <…

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Q: 1. Determine the derivative for y = | a. d. 中正中正 中正中正

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Q: Q1/ Find the maxima, minima and saddle points for the following function and the value of the…

A: As per guidelines only first question is answered. For other answer please resubmit.

Q: COs x dy Find when y = dx csc(7x + 1)' dy dx

A: The given function is y=cosxcsc(7x+1)

Q: х dy J(P+4) 12 dt Find for y = dx Choose the correct derivative below. х dy |(? +4)* 12 ( ) 3 O A.…

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Q: y" + y " +y' + y = 1

A: A differential equation is said to be linear if no terms in it are formed by multiplication of two…

Q: dy of the function dæ Find the derivative x* In 3y = y sin 3x + et.

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Q: 1. x3 + y3 – 2xy = 0, find y'.

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Q: Solve dy dx + y tan x = -y³x sec²(x)

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Q: Solve the inital value problem from the differentail equation: dy/dx = 1+ y       where y(0) = 1

A: Given: Initial value problem. dy/dx = 1+ y       where y(0) = 1

Q: Linearize given function at point and fin an error upper bound xy + y cos (x – 1) at Po (1, 2), take…

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Q: dy – y (xy' -1) .3 2.) dx

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Q: Q3 Find dy/dx on the graph y sec x? + y? = cos2x at point (1, 2).

A: Derivative of implicit function

Q: Determine the general solution of 6d²y dx² +5 dy dx - 4y = 0. Find the particular dy solution when y…

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Q: 52. (a) Given 3y² – xy+x 3. By using implicit differentiation, dy 8 (i) find the value of at x=1. dx…

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Q: d²y The second derivative for the function dx? 7y + 14x = 5x² is O y' = 9 7 y' = } %3D y" = } %3D O…

A: Solution :-

Q: Solve the following D.Es: 1. (x + 1) = x(y² + 1).

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: A. y'=2+ex B. (y'-xy)dx+x´dy = 0 %3D

A: Use substitution method

Q: cosh x dy + (y sinh x + ex) dx = 0

A: Step 1:

Q: ind and classify the equilibria for y'= (y- 1)(y – 2)y. The initial

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Q: I ind the second derivative(y") of the following functions and simplify the final results. 1. y = x…

A: Differentiate using the rules of derivative.

Q: dy Find by implicit differentiation. dx h. e* + ev = e*+y i. ev = In (x3 + 3y) j. ye2x +xy³ = 1

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Q: Find dy/dx given the equation xy+ y = 2.

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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.