The order of the following differential equation dy (x? + y?)xy dx Select one: a. 1 b. 0 С. 4 d. 2

Q: Q3 Solve the following differential equations dy = e' tan x, y(0) = a. dx

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Q: Solve the following differential equations dy cos y 11 = sın' x coS X dx

A: As per our guideline we are supposed to answer only one asked question.kindly repost other question.…

Q: dy + Py = Q then P =? - dr Q 4. If tan æ sin æ is an integrating factor of the differential equation

A: As per guideline, one question at a time

Q: Which one of the following equation is exact differential equation a) (y sin 2x)dx-(y² +cos? x)dy =…

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Q: A) Find the order and degree of the following differential equations: dy dy 1. y = x+a1+ ( dx. dx…

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Q: 6. Solve the following differential equations. xe²-In y? dx dy b) a) dy +y cot x = x dx

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Q: Which of the following is/are the dependent variable/s of the differential equation. vt v3. atəx…

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Q: Q2. Solve the following differential equation. Given that when x = 0, y = -0-9, and- dy = -0.7. dx…

A: The ordinary differential equation involves derivate of single independent and single dependent…

Q: (a) Find the general solution to the differential equation dy + (cot x) · y = 1. dx

A: dydx+(cotx)y=1this is linear first order differential its integrating factor is e∫cotx dx…

Q: Q2: Solve the following differential equations cos y dx + (xsiny - cos'y )dy = 0 cos y )dy = 0

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Q: Which of the following differential equations has two real and equal roots? Felect one: O a. d'y 4y…

A: Here roots of differental equations means roots of auxilary equation  A quadratic equation…

Q: The degree of the differential equation d²y dy = 0 %3D dx? dx O a. None of these O b. 2 O .1 O d. 3

A: The degree of the differential equation is the highest power of the differential when written in…

Q: 1. x*y' + 2xy – 5y = 0 2. 7xy dy-(2y' – x \dx = 0

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Q: 3. In the differential equation (2x+ ydx-3(2x + y+4)dy =0, we let the substitution dy :

A: We can solve the given differential equation  by  using  the substitution            u = 2x+y

Q: olve the given differential equation as shown below: (Pe2y – x)dx = 2e2Y (e2y + Px)dy ® Incy(e* –…

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Q: ) Which of the following are first order linear differential equations? (会) D. + cos(x)y = 5 dx

A: Given ,  (dy/dx)2 + cos(x)y = 5 We have to check first order linear differential or not  We know…

Q: Which of the following differential equation has the same order and degree? [dy]6 + 5y = e* A. + 8…

A: See the answer below

Q: Q) find differential equation of the following equation dx + x sin(2y) = x cos² (y) dy

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Q: Let e cos /2x be a solution of the differential equation y" + ay' + by = 0, where a and b are…

A: To find  4a-2b

Q: Q: Solve the following differential equation: In(y? + 1)dx 2y(х-1) dy = 0 у2+1

A: Explanation of the answer is as follows

Q: Which of the following differential equation has the same order and degree? A. +8+ 5y = e*…

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Q: X dy + y dx = x cosx dx

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

Q: The Degree of the differential equation: d²y dªy V dæ4 sin x is_ dx? O 2 O 4 O 1 O 3

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Q: "ind the solution of the following Differential Equations .by Exact 2x'dx – 3xy°dy = 0, y(1) = 0 ابن…

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Q: Find the solution of the following second order differential equation d²y(x) dy + x +x? y(x) = 0 dx?…

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Q: Which of the following functions are solutions of the differential equation y"- 4y'+4y = e*? %3D

A: y''-4y'+4y=ex d). y=xe2x+ex Differentiating with respect to x, we get…

Q: Which of the following is NOT a separable differential equation? A sin(x) sin(y) dr+cos(x)cos(y)…

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Q: Find the solution of the following second order differential equation d?y(x) +x+x? y(x) = 0 dy dx…

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Q: Which of the following differential equation can be solved using separation variables? a. (x-2y)dx +…

A: Topic:- differential equations

Q: dy The solution of differential equation dæ + tan ||

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Q: d'y dy +5- da The order of the differential equation: 5 sin z is dr3

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Q: Given the differential equation d?y dy + 5 + 8y = 0 dx2 dx Determine the Characteristic Equation for…

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Q: (y")? = (1 – 3y')ā b. (x?у? — у3)dx — 2у?dy %3D0 - - a.

A: for the given differential equation:-  Order:- highest order derivative. Degree:-  Power of the…

Q: Q1/ Solve the following differential equation (x sin y)dy - cos y dx = x?dy %3D

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Q: Which differential equation follows the form y'+p(x)y=q(x)? A (В E dy dx dy 4-+y=6x dx - 3xy=4y² dx…

A: I am attaching image so that you understand each and every step.

Q: Solve the non-linear differential equation dy (- csc? y) + 2x cot y = x, given that y(0) = 4. da

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Q: The order of the following differential equation dy dx (x2 +y)xy Select one: а. 1 b. 2 C. 0 d. 4

A: Given ODE is: dydx=x4-y4(x2+y2)xy We know that order of ODE is the order of highest order derivative…

Q: y' = cos?x cos y %3D

A: Explanation of the answer is as follows

Q: Find the solution of the following second order differential equation d?y(x) dx2 dy + x +x? y(x) = 0…

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Q: For which of the following differential equations isoclines are the equation of lines passing…

A: In the equation of the form y'=f(x, y), the isoclines are lines in (x, y) plane obtained by setting…

Q: Solve the following differential equation d?y dy 4 +3y = 3x2 - 4 dx2 dx Paragraph BIEE

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Q: e?y cos?x dy y? Ln(sinx) dx ニ。

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Q: Q.3) Find the solution of the following differential equation: dy cos(r) dr - 2y

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Q: Solve the following Second Order Differential Equation dy dx? dy dx +2 + 4y = cos4x

A: Use the given information.

Q: * ?Which of the following equations is an exact differential equation + 1) dx - xydy = 0 2xydx + (2+…

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Q: 5) y ( y? + 1) dx + x(y² - 1) dy = 0

A: The differential equation is said to be exact, if ∂M∂y=∂N∂x. The solution is: ∫Mdx⏟Take ''y'' as…

Q: Which of the following differential equations are separable? : (i)dy/dx=xy, (ii)dy/dx=x+y,…

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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.