dy 8.- dx = 0 Vx In 2x ' y² In y

Q: Solve the following differential equations of xy'dx+ (x'y' +1)dy = 0

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Q: dy Solve the non-Linear differential equation cos y- do sin y(1 – O sin y),given that y(0) = 3. -

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Q: Find the general solution of the following differential equation 2ď²y dy + 4y = x² + In æ dx da?

A: Given   x2 d2ydx2 - xdydx + 4y = x2+ in x - (1)let  x = ez           ie  z=lnx - (2)xdydx = Dy…

Q: Solve the following differential equations properly 12. xydy – (1+ 2y² + y*)dx = 0; when x = 1,y = 0

A: The given equation is: xydy-1+2y2+y4dx=0 The given condition is: When x=1,y=0

Q: Solve the following differential equation:   y′′+9y=0; y=3,y′=3 at x=π/3

A: Given y''+9y=0; y=0, y'=3 at x=π3 To find the Solution:

Q: sen(y)dx + (x + 1) cos(y)dy = 0

A: When an equation contains terms with derivatives of a dependent variable with respect to an…

Q: Evaluate the given differential equation. dy 4sin2x dx y = 2; x 2

A: To evaluate: The differential equation dydx=4sin2x. Given: The condition for the given differential…

Q: dy_ 1+ y² dx

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Q: Solve the following differential equations: dy 1.1 (x³ + y²)-(3xy²) X dx [Hint: Let y = vx].

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

Q: Solve the following first order differential equation xy + 10y + 3x + 30 ху — 8у — 5х + 40* dy dx

A: Topic = Differential equation

Q: (x²+4)³?dy + (y° Jy-4 )dx = 0

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Q: Solve the following differential equation dy dy 29 + - 2y = e" sin x dx dr? by using the method of…

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Q: dy 4 + y² + (9 + x²) = 0 dx

A: We have to use variable separation method.

Q: Solve the following simultaneous Differential equation * dy + 5x + 3y = 0 dt dx 3x + 2y, dt -

A: dxdt=3x+2ydydt+5x+3y=0Put ddt=DDx-3x-2y=0⇒D-3x-2y=0 ...(i)Dy+3y+5x=0⇒5x+D+3y=0 ...(ii)…

Q: Solve the following differential equations y dy + (xy² – 8r) dr = 0, y = 3 when = 1.

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

Q: Solve the following differential equations of dy 1 y= xy': + dx

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Q: x+y, 9- (e" + In y)dx+ (**)dy = 0 y

A: As per our guidelines, we are supposed to answer one question at a time.  Kindly repost other…

Q: Solve the following differential equations of ẻ dx+2(xe - y)dy=0;

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Q: Solve the following simultaneous Differential equation * dx = 3x + 2y, dt dy + 5x + 3y = 0 dt

A: dxdt = 3x +2ydydt + 5x+3y  =0

Q: Solve the following differential equation. (1+x*)dy + x(1+ 4y°)dr = 0, y(1) = 0

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Q: 3ely)dx +3e dy = 0 y

A: In this question, the concept of a Differential equation is applied. Differential Equation A…

Q: Solve the following differential equation: d²y dy dx² + *Tx+ y = 4sin (In(x))

A: We will solve the problem.

Q: Write down a differential equation of the form  dy/dt=ay+b whose solutions all approach  y=5/7  as…

A: We need to write down a differential equation of the form dy/dt=ay+b whose solutions all approach…

Q: Solve the following Differential Equation using variable separable. dy/dx = 4x + xy2/y − x2y

A: We will find out the required solution using variable separable method.

Q: Solve the following differential equations of dy +9y=2e* +18x +18 dx?

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Q: Find the general solution of the following differential equation dy 3 V = 2 1 dx 1 y' = - sec2 y

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Q: dy 4. x-+y = x²y² In x dx

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Q: Solve the following pure-time differential equation With the given initial condition. dy 1 where…

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Q: Solve the following differential equation using the appropriate method dy 4y x (у — 3) dx

A: The given differential equation can be written as: dydx=4yxy−3⇒y−3ydydx=4xThe given equation is…

Q: Solve the following first order differential equation dy ху + 10у + 3x + 30 ху — 8у — 5х + 40 = dx

A: please see the answer below

Q: Solve the following separable differential equation: dy xy y(0) = 4. dx 1+ x2 '

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Q: Solve the following differential equations (x+ 1)dy – 2(y +x + 1)dx = 0; when x = 1, y = 4

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Q: Consider the following differential equation. ydx - 7(x + y) dy = 0

A: Given differential equation is ydx-7x+y9dy=0. To find: 1. Coefficient function Py. 2. Integrating…

Q: Solve the following differential equation (3xy3 + 4y)dx + (3x²y² + 2x)dy = 0; when x = 1, y = 1

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Q: dy Jx In 2x ' y°In y dx %3D

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Q: solve the given differential equation. ex+y dy − dx = 0.

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Q: Solve the following differential equations: dy y%3D =Vx² +y² . dx

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Q: Solve the following differential equations properly dy 8. dx = 0 Vx In 2x' y? Iny

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Q: Solve the following pure-time differential equation with the given initial condition. dy 8 where…

A: To solve the Differential equation.

Q: (a) Solve the following first order differential equations: dy y= 40x, for x >0 and y(1) = a dx

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Q: 3 dy + 3² = 2x*y* dx 4

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Q: Solve the following differential equation dy (x² + 2y²). = xy dx

A: First we convert the given differential equation into separable form and then we find the general…

Q: Solve the following differential equations of dy 1 y= xy'; dx x

A: To solve the following differential equation

Q: Solve the following differential equations properly. 1. (y²-xy)dx + (x²-xy)dy = 0

A: Topic:- solution of differential equations  Note :- as per our guideline if more than one question…

Q: Solve the following differential equation: d²y dy +x÷+y= 4sin (In(x)) dx dx²

A: Use cauchy legendre equation for direct  solution

Q: Solve the following differential equation d²y dy 1 + 3-+ 2y dx2 dx 1+ ex

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Q: dy_1+ y² dx 1+x dy 1- y* dx |1–x²

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Q: Find a general solution of the following differential equation: d?y + 4y = tan2t + e3t %3D dt2

A: The solution is given as

Q: Classify the following differential equation as linear or non-linear. (x2 - 2y) ((dx)/(dy)3) - (y3 +…

A: Given: The Differential equation is x2-2ydxdy3+y3-5d2xdy22=-16.