Solve the Cauchy euler equation d³y x3 dx3 3x2 d?y dx2 2 + 6x -6y = 3 + Inx³ dy dx

Q: Find the general solution of dy d²y 6- dx2 + 12- dx fip - 8y = 21e2 dx3

A: General solution

Q: find the general solution of the given equation. 4 d2y/dx2 - 12 dy/dx + 9y = 0

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Q: Find the general real solution of d3y/dx3 -dy/dx = x2 + 4 +e4x

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Q: Find the particular solution of (y + Vx² + y²)dx – xdy; when x = v3, y = 1

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Q: The general solution of (2x2 + y) dx + (x²y – x) dy = 0 is 4x2 + Dy² -Dy D

A: Given that 2x2+ydx+x2y-xdy=0Solution…

Q: Solve for the solution: d3y/dx3 - d2y/dx2 -dy/dx +y = 0

A: Solution is given below:

Q: 4. Find the general solution of (x³ + y³) dx = 3xy? dy A. -3x3 + 2y3 Cx B. 7x3 + 2y3 = Cx C. -6x3 -…

A: According to question, Given differential equation, x3 + y3 dx = 3xy2 dy

Q: The solution of (y + x + 5)dy = (y – x + 1) dx is %3D

A: An ordinary differential equation is an equation containing independent variables, dependent…

Q: Obtain the general solution. (Let 2C=C) (4x + xy*)dx + (y +x*y)dy = 0

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Q: Obtain the general solution of the following equations:    2y(x2-y+x)dx-(x2-2y)dy=0

A:

Q: What is the general solution of Xy(xy- 1)dx + x²(1+xy)dy=D0? A 4x3y +3x2= Cy 2x y³-3x2= Cx? 2x°y5 -…

A: Option (c) is right Solution...

Q: Find the Particular Solution: y(x - 6y)dx - x(2x - 9y)dy = 0 ; when x=1, y=1 O a. y (2y-3x) = 3x? O…

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Q: Solve the DE (3xy² – y³)dx +(xy² – 2x²y)dy = 0 %3D

A: Given equation is, ...(1) Let, be the dependent variable then divide by we get, Now, substitute…

Q: Show that the solution of the equation d3y/dx3 +3αd2y/dx2 +3α2dy/dx+ α^3 y = 0 is y…

A: According to the given information, First it is required to show the solution of given differential…

Q: What is the general solution of xy(xy³ – 1)dx + x²(1+xy)dy= 0 ? A 2x°y3 -3x2= Cx? B 2x³y5-3x² = c ©…

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Q: Obtain the general solution to the equation. dx y dy + 6x=5y

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Q: (2x2y+3y3)dx - (x3+2xy2)dy = C Solve for Particular Solution when x = 1, y = 1

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Q: Solve and find the domain in which the solution is defined. dy/dx = (y2-xy-x2)/x2 , y(-3)=-6

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Q: (x + 2y – 1)dx + 3(x + 2y)dy = 0

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Q: Solve by using the method of d'y dx² dy + 2x dx undetermined coefficients : + (x2 + 5) y = xe-xn

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Q: . Find the complete solution of dx + 2x Y = 2x²y²e*dx V

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: Solve the D.E. x² + y² dx = 2x dx + 2y dy %3D

A: Arrange the differential equation as

Q: (2x - 5y+3)dx = (2xrry-6)dy =o

A: Given  (2x-5y+3) dx - (2x+4y-6) dy = 0 ⇒ (2x-5y+3) dx = (2x+4y-6) dy ⇒ (2x-5y+3)(2x+4y-6) = dydx ⇒…

Q: (b) Solve the IVP (3xy – y²)dx = (xy – x²)dy y(-2) = 3 - %3D %3D

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Q: Solve for the particular solution: dy + 를y3D -2°y"; y(-1) %3D2 dz

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Q: What is the general solution of ху(ху5 - 1) dx + х?(1+ ху)dy3D0 ? A 2x3y5-3x² = cy? B 2x°y3 - 3x2 =…

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Q: Solve the Bernoulli equation dy + xy = xy³ d.x .A = (ce + 1)-2 .B y = (ce – 1)- .C y = (ce" + 1)-½…

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Q: The solution of (xy – ) = y³e-x² dx

A: The solution of the differential equation is defined as the function that satisfies the equation.…

Q: Solve the equation. (4x2 + 2x-1y)dx + (x²y° - 1)dy = 0

A: Given: Given differential equation is 4x2+2x-1ydx+x2y3-1dy=0 we want to solve this ODE

Q: dy = 6 3y – x- dx

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Q: Find the general solution. dy - 2y +4x3 dx

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Q: Solve the differeial equation: dy/dx=3x^2y^2

A: The given differential equation is dydx=3x2y2.

Q: 2. Find the general solution of d²y dy +5 dx² dx -6y= = : 0

A:

Q: Find the general solution of +3 d² y dx3 + 2x² % + 2x + d²y dx2 dy + 4y = 10x¬1 %3D

A: The solution is given as

Q: Find a solution of dy (x³ – 1) = y2 – 4 | dx that passes through the indicated points. a) (0,1) b)…

A: As per our guidelines, we are supposed to solve only first three subparts. Kindly repost other…

Q: Solve the Cauchy euler equation d²y + 6x 2-6y = 3 + Inx3 dx x3 d3y 3x2 dx2 dy dx3

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Q: Find the solution. dy x-+ 5y =2r2y4 dx

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Q: Find the complete solution of d2y/dx2 +2dy/dx+y =sinxcos2x.

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Q: Give the general solution of: dw/dx + (4w)/x = x3

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Q: Find the particular solution of an EDE (2xy2 +1)dx + (2x2y-y)dy%3D0 when x-2 and y=-2 Answer:

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Q: (b) Find the general solution of (y* + 2y)dx + (xy³ + 2y* – 4x)dy = 0 %3D

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Q: Find the solution of the DE 2(d2y)/dx2 - (dy)/(dx) - 6y = 6excosx when x = 0, y = -21/29, and…

A: To Find the solution of differential question  2 d2ydx2-dydx-6y = 6 ex cosx Final solution of above…

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

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Q: Solve the dff oq dy 3x寸票-5-2 %3D

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Q: Find the general solution dy +2y - 6x? dx

A: The given first order ode is, dydx+2y=6x2 This is in the standard form dydx+Pxy=Qx where, Px=2 and…

Q: Solve the Cauchy euler equation dy 3x2 d²y + 6x -6y 3+ Inx3 dy dx3 dx2 dx

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Q: Solve: (D² + 5DD' + 6D²)z = (y – 1)e* + sin(2x – 3y) + 3x + y, where D =- and ax D' = y = 2 ду

A: Given partial differential equation is, This is a homogeneous partial differential equation with…

Q: Find the particular solution for (2y³ – x³) dx + 3xy² dy = 0 when x = 1, y = 1 A. 5x²y³ = x³ + 4 B.…

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Q: Obtain the solution (D³ - 2D + D- 2)y = 0 d'y/dx? – dy/dx – 6 = 0 ; when x=0, y=0 and when x=1, y =…

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Q: Find the general solution of the given DE (x-3y-1)dx-(x-3y+5)dy%3D0. Answer:

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.