The implicit solution of the differential equation (1+ x) dy = (1+ y')dx by using variable separable method is -1 -1 a) tan y = tanx +c b) tan x = tany %3D c) In (x +1) = In y + Inc d) None of these O b a

Q: The complementary function(C.F.) of the differential equation (D – 7)(D² + 7?)y = e7² is O (c2 Cos…

A: Solution: The objective is to find the complementary function of the given differential equation

Q: Q/Solve the differential equation by seperable 1) dy=(y + 9x) dx 2) dx 3) dx - 1 1+ y² dy = 0 y + 9x…

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Q: The complementary function(C.F.) of the differential equation (D2 + 6D+ 18)y= z is_

A: In this question, we have find the complementary function for the differential equation.

Q: Show that each of the functions defined in Column I is a solution of the corresponding differential…

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Q: Consider the differential equation 4y' = 3y+ 2x/y Which of the following is the linear form of this…

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Q: Show that the solution of the differential equation dy/dx=sin(x+y)+cos(x+y) is  1+tan(x+y)/ 2 =…

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Q: b) y' = =+ cos) COS Hint: use the change o variable u =

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Q: The standard form of the differential equation cosx y' + cosx y = x sin x is: None of the above O…

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Q: The solution of the separable differential equation – x²y² = x² is: dx None of the above…

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Q: Two linearly independent solutions of the differential equation y" + 2y' + 8y = 0 are Select one:

A: Given: y''+2y'+8y=0

Q: Find the general solution of the following differential equation: a) t * dy/dt = (1-y^(2))^(1/2).…

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Q: The integrating factor of the linear first order differ dy sin2x y+tanx xp Oa None of these Ob sinx…

A: Given differential equation, sin2xdydx=y+tanxdydx-ysin2x=12cos2x If the equation is of the form…

Q: Find a fundamental set of Frobenius solutions of the differential 4x² + x(7+2x+4x²) y'-(1-4x-7x²)y=0

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Q: find differential equation of the following equation 1) y' = y-x y+x

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: What are the roots of the characteristic polynomial for the differential equation y" + 4y' – 5y = 0?

A: Given differential equation:-   y" + 4y' -5y = 0

Q: find the general solution to the following differential equation: a) dy/dt = t^(2)/y b) dy/dt =…

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Q: Identify ALL linear differential equations. + (sin(t) + e' + 5x) + x = 0 d13 d²x + (1+t²) x = 10t…

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Q: What is the general solution to the differential equation (tan x)dy – (4y In y – y tan³x)sec²x dx =…

A: Given differential equation:(tanx)dy-(4ylny-ytan3x)sec2xdx=0To find: General solution of the…

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.