2 sin²2t dx = cos x (1 + cos 2x) dt

Q: 2. Solve the following differential equation in two ways: once using separation of variables, and…

A: Here we have to use variable separable method and reverse product rule to solve the differential…

Q: 4. dx + (x- y + 2)°dy = 0

A: Solution is given below...

Q: 6.) (y In xy + 3x²) dx + x In xy dy = 0

A: First we need to simplify the given equation then solve it by standard formula. Following formulas…

Q: 9) [x – y arctan(y/x)]dx +x arctan(y/x) dy = 0

A: To solve the differential equation dydx=f(x) g(y) using variable separable method Rearrange the…

Q: Find the solution of the following Differential Equations By Exact 25) 2 sin(y)dx + cos(y)dy 0, y(0)…

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Q: 2. Find the general solution to the following differential equation: (2x – 8x) sin(In y)y' = x + 3.…

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Q: Find the solution of the following Differential Equations 5) sinh(x)cos(y)dx = cosh(x) sin(y)dy 7)…

A:

Q: 4. dy – (x - y + 1)²dx = 0

A: As we know that; ∫dxa2-x2=12alnx+ax-a+C   The given differential equation is: dy-x-y+12dx=0 So, we…

Q: dy 7. dx cos(x + y), when x = 0,y =

A:

Q: xy (yе" сos 2 x - 2e% sin 2 x+2x +(хе" сos 2x - 3) у'3D0

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Q: dy dr = cos(²) +

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Q: Find the solution of the following Differential Equations 12) sin(ß y)dx =-ßcos(ß y)dy

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Q: Solve the following Second Order Differential Equation y" + 2y' + y = sin (2t) %3|

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Q: Solve the following differential equations. 1. (sin 2y - 2xcos2y)dx + (2xcos2y + 2x²sin2y) dy = 0,…

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Q: Find the solution of the following Differential Equations By Exact 19) ycos(x)dx+ 2 sin(x)dy 0

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Q: 4r³ sin 20 cos 20 dr = d0 ;r = 3,0 = 22.5° %3D

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Q: +(1+) sin x dy = 0 2) cos x

A:

Q: Solve the following differential equation using appropriate method. 2. (2x + 4y + 6) dx + (4x -2y-5)…

A: The given differential equation is; (2x+4y+6)dx+(4x-2y-5)dy=0

Q: 2(3e²* cos y + x) dx – 3e2* sin y dy = 0 ; y(-n) = 0

A: Using Method of Exact Differential Equation.

Q: Solve the following differential equations using any method: dy = tan-¹(x + y) dx

A:

Q: Find the solution of the following Differential Equations by Homogenous Equation 66 ア=+x yーx 8) y' =…

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Q: Зе -Зу dx — ее+х х-2 dy %3D 0

A: The given differential equation is 3e-3ydx-eey+xx-2dy=0 To find the general solution and particular…

Q: Find the general solution of each of the following differential equation: (b) y"" + y" +3y' – 5y = 5…

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Q: Solve the following differential equations using the method for exact equations. 2y dx + (2x + 5…

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Q: .. Solve the following differential equation using the indicated method. (a) y"+y' - 2y = x² + 2 sin…

A: Solution is here

Q: (-14х3у - Зе-У — 1) dx + 2x(3е-У — 2х3) dy %3D 0

A: -14x3y-3e-y-1dx+2x3e-y-2x3dy=0                                (1) Comparing to standard equation…

Q: (y – 2)dx = (y – 3x)dy

A:

Q: 2. xcos²y dx + tanydy = 0

A: The given differential equation is; xcos2y dx+tany dy=0 Repost the next questions.

Q: (2x – 3y +1)dx – (3x+2y-4)dy = 0

A: (2x-3y+1)dx-(3x+2y-4)=0The above differential equation is of the formMdx+Ndy=0where M=2x-3y+1    ,…

Q: dy - (x- y + 1)'dx = 0

A: The objective of the question is slove the differential equations.

Q: sinxsinydx + cosxcosydy = 0 %3D

A: To solve the given differential equation.

Q: 1- ylnydx+(1+x*)dy =0

A:

Q: :- 5y = e** cos 2x dx

A: Solve the linear differential equation

Q: 1. - 5y = e** cos 2x dx

A:

Q: Find the solution of the following Differential Equations .by Exact 2 cos(7 y)dx = n sin(ë y)dy ابن…

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Q: find the ordinary differential equation of the following solutions by eliminating the arbitrary…

A: Since there are two arbitrary constants so differentiate  twice to get the second degree…

Q: Solve the following differential equations using the method for exact equations. (1 − cos 2y − 2y…

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Q: Solve the following differential equations: A) y" – y' = 5e* sin(2x) %3D | -

A: See the attachment

Q: х*у dy — ху^dx + Зу dy — 2x dx %3D 0

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

Q: dx 3) sinx +cosh2y=0 dy ans: sinh2y-2cos=c

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Q: (x – 3y + 3)dx + (3x + y + 9)dy = 0

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Q: SOLVE THE FOLLOWING DIFFERENTIAL EQUATION FODE (STEP BY STEP SOLUTION) 2x2 cos ydy + siny (x +…

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Q: 3. x'sec?ydy – (1– 2x²tany)dx = 0

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Q: 4- xy- dx (xyt cot cos +y')

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Q: Solve for the General Solution of the following Differential Equations using Separation of Variables…

A: Since  you have posted a multiple  question according to guildlines I will solve first   question…

Q: siny ( x + sin y ) dx + 2x² cosydy %3D

A:

Q: (х + 3у — 4)dx + (х + 4у—5)dy %3Dо

A:

Q: SOLVE the following DIFFERENTIAL EQUATIONS using appropriate method.FULL SOLUTION x^3sec^2ydy –…

A: A detailed solution is given below

Q: 2. (x + 2) dæ: (x + 3) sin y cos y dy In(a + 3) sin y %3D + C ans. x -

A: (x+2) dx = (x+3) sin y cos y dyUsing the method of variable separable;x+2x+3 dx = sin y cos y dy…

Q: Solve the following differential equations: (DE in 1st Order, 2nd Degree) 7.) (v')² +| x – 2x y'+x -…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

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.