4 (10x3 + 15x² -7y2 - 14xy )dx tx(Sx?- 21y²) dys0

Q: y" – 2y' + y: [12x – 4]e-Sx %D -

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Q: Qs: Solve the fallow ing differential equations b) (x+j) dx - Xdy-

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Q: Find a differential equation whose general solution is y = C₁e6t + c₂e-4t y" - 2 y' - 24 = 0 X

A: The solution of the DE is: y=c1e6t+c2e-4t where the solutions to the auxiliary equation are 6 &…

Q: Solve the differential equation for general solution dy = - dx V y = 14x + C O y = /14x + C, or y =…

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Q: 2 dy + ydx = 4xdx

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Q: Find a differential equation that has a solution which is: w=50(1+exp(-t/50)) Show complete…

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Q: Solve the differential equation: dy (2x + 4y) + (4x – 2y) dx You may leave your answer as an…

A: the given differential equation is: 2x+4y+4x-2ydydx=0 we have to solve the given differential…

Q: Solve the differential equation y' + (x³ + 1)y - e"y5 = 0, y(0) = -2 %3D

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Q: (3x2-2xy+3y2)dx = 4xydy Find the general solution by determining the type of differential equation.

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Q: Solve the differential equation: y'= 4x(2 – y), y(0)= -6 |

A: Given  DE is y'=4x2-y , y0=-6 Solve the DE

Q: (3x2-2xy+3y2)dx = 4xydy Find the general solution by determining the type of differential equation

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Q: Solve y" - 5y" +19y' + 25y = 0

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Q: Solve the differential equation y' =7x - 4 y Using Runge-Kutt

A: Given,            y'=7x2-4y,   x=0.1, 0.2, 0.3,  . . . , 0.8

Q: 2x³y' y(y? + 3x?)

A: Given  2x3y'=y(y2+3x2) And we have to find out the solution.

Q: solve the differential equation   x(4ydx+2xdy)+y3(3ydx+5xdy)=0

A: Given that the differential equation is    x(4ydy+2xdy)+y3(3ydx+5xdy) = 0

Q: Solve the differential equation y"+6y' +12 y =0

A: Given the Differential Equation is  y''+6y'+12y=0 This is a second-order linear differential…

Q: xy – y = /x² - y² — у 3

A: Topic - differential Equation Homogeneous Differential equation

Q: Solve the differential equation y'+25y=10y

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Q: - y2. xp x²+ xy+y²

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Q: Solve the differential equation. 9x2 dy dx V5 + x3 y = + C

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Q: dy (13) 2+ 3y = 3x²e¬3* dx

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Q: Solve the linear differential equation of y' – 2xy = r.

A: Answer :The given differential equation is y'-2xy=xIt can be written as dydx-2xy=x    -(1)

Q: AIVTJT Solve the given differential equation by undetermined coefficients. y"- 4y' + 4y = 12x + 5…

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Q: y' + 5xey = 0

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Q: Solve the differential equation : (D2+5D+6)y=ex

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Q: y = Ax2 + Be-* Find the differential equation by eliminating the arbitrary constants. *

A: Given equation is  y= Ax2+Be-x  We have to find a differential equation by eliminating arbitrary…

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: Solve the Differential Equations by Inspection (40xy-21y*)dx– (35xy³-20x²+20x?y-14xy*)dy=D0

A: The given differential equation is: 40xy-21y4dx-35xy3-20x2+20x2y-14xy4dy=0   …* Here  M=40xy-21y4…

Q: Q3: Solve the differential equation: y "- yy "=(y ')'

A: Given that, y'''-yy''=(y')2 This can be written as, y'''=(y')2+yy'' Therefore, d(yy')=yy''+y'y' So…

Q: Tx?+y?)dx + 3xydy

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Q: ydx-xdy=0    What is the solution of the differential equation

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Q: Match the differential equation y′ − 2x = 0 with its solution as attached

A: Here given as y'-2x=0Or dydx=2xordy=2xdx

Q: Solve the differential equation. (x and y are variables) (D2+4D)y=1+2x+3x2

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Q: Solve the homogenous differential equation (D3+5D2+D)2y=0, y(0)=3, y'(0)=2, and y''(0)=8

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Q: (t - 5)'y"-2(t-5)y' + 2y = 0, t>5, V = (1- 5)

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Q: Solve the differential equation: xdy/dx + x2y = 3x2 , y(1)=6

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Q: Q4: Solve the differential equation: 8- dx2 d²y 69 + y = 6. coshx dy dx

A: Some formulas: coshx=ex+e-x2 Given differential equation is: 8y''-6y'+y=6 coshx Auxiliary equation…

Q: Q4: Solve the differential equation: d²y 2 dy - 24- = 6e2x – 4e-2x dx dx²

A: Given: d2ydx2-2dydx=6e2x-4e-2x

Q: Solve the linear homogenous differential equation with constant coefficients :…

A: Given linear homogenous differential equation with constant coefficients is(D5-D4-2D3+D-1)y=0The…

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 equation (4xy+3y2-x)dx + 2x(x+3y)dy = 0 (SOLVE BY USING DIFFERENTIAL EQUATIONS)

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Q: Get the differential equation. xy²dy = (y³ – x³)dx (Highlight the result of substitution, result of…

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Q: (D²-1)y=2(1-e-2x) - ²

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Q: At what point of the curve y = x3 + 3x are the values of y’ and y” equal? (SOLVE BY USING…

A: This is a basic derivative problem where we need to satisfy the given condition

Q: Solve the differential equation x*y"-2x?y=2lnx Show all your steps

A: We have given a differential equation  x4y'' - 2x2y = 2lnx ⇒ x2y'' - 2y = 2lnxx2        Put  x= ez…

Q: x²y" – 5xy' +13y = 0

A: use Cauchy Euler method to solve such type of differential equation.

Q: Solve a linear Cauchy differential equation (x*D³ + 2xD – 2)y = 0

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Q: solve the differential equation : y"+k?y=0

A: We will be solving y''+k2y=0. So,