4x²yy' 3x(3y2 + 2) + 2(3y +2)3 %3D

Q: 2. Solve the differential equation ry-(1+2)y = ry? by using appropriate substitution. an

A: We have

Q: (D² - 3D + 2)y = 2e-* +8

A:

Q: 5. у" + у' — 2у 3D 0 ||

A:

Q: Solve the differential equation (x²+1)y' + 3x(y-1)=0 and y(0)=2

A: Topic: Differential equation

Q: Solve the differential equation. ху' — 2у %3D х2, х>0

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Q: y' + y = 1, У(0) 3 1

A:

Q: The solution to the differential equation (5x² – 3)dy + xy² dx = 0 - %3D

A:

Q: Solve the differential equation y/ + y = xy³. %3D

A: We are authorized to solve only 1 independent question, please repost remaining questions.…

Q: Solve the differential equation: * (D² - 3D + 2)y= 2e-x + 8

A:

Q: (2xsiny-3)dy-cosydx=0 solve the differential equation

A:

Q: Solve the differential equation; yy + 25x = 0 %3D

A:

Q: Solve the differential equation y''''+y''=3x2+sinx-2cosx a) what is the complementary solution b)…

A: We have to solve the differential equation y'''' + y'' = 3x2 + sinx - 2cosx a) Complementary…

Q: Solve the differential equation  P3x-p2-y+1=0

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Q: Solve the differential equation 2r - y 1+1

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Q: solve the differential equation 2) 2x² dy dx csc (X)

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Q: Solve the differential equation 1. y' = 2 (y2-1) %3D

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Q: Solve the differential equation (8) 2x2y′′−xy′+(1+x)y=0

A:

Q: How do I solve this differential equation using P(x), Q(x) and v(x)?

A: The given differential equation is,

Q: Solve the differential equation: y'' - 9y = e3tsin(t)

A: Recall: If the roots m1,m2,...,mn of the Auxiliary equations are real and distince then its…

Q: ア+ニ= 5(x- y+ニ= 5(x-2)y x-2)y

A:

Q: Solve the differential equation. y' - y = 8e* %3D

A: For this we have to find first complement

Q: (4)_y= 16e

A: We have to find solution

Q: (1+ x²)y' = x*y4

A: The given differential equation,(1+x2)y'=x4y4

Q: y" + (y')² = 2e¬y

A: Given: y"+(y')2=2e-y

Q: Solve the differential equation y" - 4y' + 4y% =

A:

Q: 2 (D² - 1)y=1+ex

A:

Q: 2 y'+ =y = 3x %3D

A: Given: y'+2xy=3x3

Q: Solve the differential equation. 3. (6x + y^2) dx + y (2x – 3y) dy = 0

A:

Q: yy' – (y')³ = 0 3

A: Nonlinear differential equations.

Q: 4x + 6y+5 dx_ dy Зу+2x+ 4 Solve the differential equation

A: The given differential equation is: dxdy=4x+6y+53y+2x+4⇒dydx=2x+3y+44x+6y+5 Now substitute:…

Q: 2 Solve the linear differential equation

A:

Q: solution to this differential equation: x3 ydx + (3x4-y3)dy = 0

A:

Q: solution to this differential equation: (y3sec2x)dx - (1-2y2tanx)dy = 0

A: The given DE is: y3sec2xdx-(1-2y2tanx)dy=0 So, let  M=y3sec2x, N=-(1-2y2tanx)So, My=3y2sec2x,…

Q: (D² -1)y=2(1-e-2x)-1/2

A: Given differential equation is D2-1y=21-e-2x-12. To find: solution of the differential equation.

Q: Solve the differential equation. dy 10x 16 - y, -4<y<4 dx %3D - The solution is (Type an equation.)

A: Topic = Differential equation

Q: Q-3. Solve the differential equation by variable separable method dy + xy dx = 9xdx

A: To solve the given differentiable equation by variable separable method.

Q: Solve the differential equation: y'' - y = 2x2 + 4ex

A: Explanation of the solution is given below....

Q: у + 2ху 3D х, у(0) — — 2

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Q: solve the Differential Equation (2xy + 3y2)dx = (x² + 2xy)dy ] %3D

A:

Q: solve the differential equation x^2dy/dx-y=2x^3e^-1/x

A:

Q: Solve the differential equation y2 dy/dx = 3x2y3 - 6x2

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Q: solve the differential equation. yy' = sec y2 sec2 x

A: yy'=secy2 sec2x⇒y·dydx=secy2 sec2x⇒ysecy2 dy=sec2x dx⇒ycosy2 dy=sec2x dx Now integrating on both…

Q: Solve the Differential Equation. 1. dy/dx=y-xy3e-2x

A: The differential equation is given as , dydx=y-xy3e-2x

Q: у" — 9у' %3D 27 y'""

A: If the roots of auxiliary equation are m1,m2,...,mn distinct and real , then the solution is…

Q: solve the differential equation. 3)yーッー メ+1

A:

Q: solution to this differential equation: (x5-y2)dx + 2xy dy = 0

A: Given differential equation is x5-y2dx+2xydy=0

Q: -lo I3+ 5 %3D dt

A:

Q: dP Р 2P (1- dt - kP 25

A: dPdt=2P1-P25-kPdP2P1-P25-kP=dtdPP2-k-2P25=dt12-k1P+2/252-k-2P25dP=dt

Q: xy (prime) – 2y = 8x² ln x

A:

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.