Obtain the general solution to the equation. dy (x² + 25) + xy = 2x, y(0) = 3 dx The general solution is y =

Q: Solve the differentian equation dy - 54 dy + 6y = 0. dx? dx Show that the functions you obtained as…

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Q: Obtain the general solution to the equation. dy y 5x +1 + dx The general solution is y(x) = ignoring…

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Q: Solve the Bernoulli Equation; dy/dx + 2y = exy-2

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Q: The general solution of the given differential d3y equation - 3 d2y +3 dy - 1 = 0 is dx3 dx2 dx

A: Given DE is d3ydx3-3d2ydx2+3dydx-1=0 find the solution of the given DE lets write the given DE is…

Q: (x-2)(dy/dx) – y =(x-2)3 solve homogenous equation by linear equation method

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Q: dy Solve for the value of C in the equation: (1-2x)dx when y(0) - 1 3y3 3

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Q: (y + 1)dx + (4x – y)dy = 0

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Q: ア- 3 2x dx -dy = 0 Solve dk +

A: Solve the first order differential equation, using exact differential equation method.

Q: solve using the appropriate method.

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Q: Obtain the general solution to the equation. dy (x2 + 18) + xy - 6x = 0 dx The general solution is…

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Q: dy – e3x+2y . Find the general solution of dx

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Q: dy is dy xy dx dx The general solution of y² + x² "

A: Solution is given below:

Q: dx2 dx dy + 4x dx 3. Solve the Cauchy-Euler equation x2 dy + 2y = e*. 4. Evaluate L(sint dx2

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Q: Obtain the general solution to the equation. dy_y dx + 4x + 9 X The general solution is y(x) =…

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Q: Solve the Bernoulli equation: x2 dy/dx -2xy = 3y4

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Q: Solve the Bernoulli Equation x² dy + y? = xy dx

A: NOTE: Refresh your page if you can't see any equations. . divide both sides by x2 .............(1)…

Q: 1. Solve the nonlinear equation x - 5 y? dy dx

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Q: Find the general solution of dy/dx =(1+y^2)e^x. Write your solution y, as a function of x.

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Q: How To Solve It? Which Method? dy/dx-dx/dy= x/y- y/x

A: ∫(1/y) dy  =log y +c ∫ (1/x)dx = log x +c  ∫  ydy  =(y2)/2   +c  ∫ xdx   = (x2)/2   +c log(a)+log (b…

Q: Find the general solution of y°dx+(3xy + y² =1)dy = 0 %3D

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Q: (x + 2y – 4)dx - (2x + y - 5)dy = 0 What is the particular solution when y(3)=1?

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Q: The general solution of y2 + x2. dx e dy xy is = dx

A: Given: y2+x2dydx=xydydx ⇒dydx=y2xy-x2

Q: find the general solution dy/dx = X + Y

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Q: 2. Obtain the general solution using Bernoulli's equation. Simplify your final answer. + x dx - –…

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

Q: Obtain the general solution to the equation. (dy/dx)-y-e^3x=0

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Q: dy d. x = y + y³cosx dx е. dx - y = 2xy²e-*

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Q: dx -dy = 0 4. Solve

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Q: c). Using an integrating factor solve the equation dy , 4. +y= 3x dx

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Q: 1. Solve the equation 3(y+1)dx-(x+y+3)dy =0.

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Q: (1 + y²) dx + (x²y + y) dy = 0.

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Q: dy = 2y-2 find the solution of dx

A: dydx=2y-22-ydy=dx4 Integrating w.r.t. both sides- ∫2-ydy=∫dx4∫2-ydy=x4

Q: x² - y² + xy dy/dx =0  What is the general solution of differantial equation

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Q: z = xy dy x + y = 2x/1-x²y² 2. Using the substitution change the "dx to a separable equation. Hence…

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Q: 4. Solve dx - dy = 0 xy-1 xay

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Q: Solve the Bernoulli equation dy x+y = -2x“y* dx

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Q: Find the general solution of y'dx+(3xy+ y² –1)dy = 0

A: The differential equation is given as , y2dx+3xy+y2-1dy=0 find general solution.

Q: xy dx + e* dy = 0 er?

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Q: e2x -1 If y = In find dx dy e2x +1 ' Select the correct response: 2e2x e4x+1 e2x e 4x+1

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Q: 1.(ye* + 2e* + y² ) dx + (e* +2xy)dy = 0 Find the general solution of the equation.

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Q: 4. Solve dx - dy = xy-1 1 o = áp-

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Q: Solve: (e-y + 1)-2e*dx + (e-* +1)-?e"dy = 0 %3D

A: The exponential rule of integration states that ∫exdx=ex+c  and ∫e-xdx=-e-x+c.

Q: 1) 1+e" |dx+e" (1- xydy =0

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Q: dy/dx = y-x-1+(x-y+2)-1  find the general solution of the diffrential equation

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Q: 1. Solve: dy e" y- = e=Y+e=2z-y dx

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Q: find the general solution of the given equation. d2y/dx2 + 4 dy/dx + 4y = 0

A: d2ydx2+4dydx+4y=0 The auxiliary equation is, r2+4r+4=0⇒r+22=0⇒r=-2

Q: dy Find the general solution of (x² + 4). = xy. dx

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Q: Substitute y=y1+z  and dy/dx=dy1/dx + dz/dx into  dy/dx = P(x)+Q(x)y+R(x)y2 to get a Bernoulli…

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Q: Using the substitution x= X -3 and y= Y-3 show that the equation dy y+3 dx x+y+6 can be reduced to a…

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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.