хду + (у+ 3x)dx — 0; when x %3D1, у%3D3

Q: ye2xdx = (4 + e2x)dy %3D

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Q: Solve the differential equation y'=(3x+3y-1)^2. Use the substitution u=3x+3y-1

A: The given differential equation is

Q: Solve the differential equations using the substitution suggested by the equation. (2x + y)dx -3(2x…

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Q: (2x- 3y+4)dx+3(x–1)dy = 0 ; when x = 3, y = 2

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Q: 7. 2yy = e-: y(4) =-2

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Q: The general solution of the differential equation x²y" - 2y = Inx is

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Q: (xy – x)y'+(y +y) = 0; when x = 1, y = 2 %3D

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Q: Find general solutions of the differential equation  2xyy'=x^2+2y^2

A: To solve:

Q: Find general solutions of the differential equation  (2x+1)y'+y=(2x+1)^3/2

A: Consider the differential equation:

Q: Find the particular solution of each differential equation that satisfies the initial condition.…

A: The given differential equation is: y'-8x3y=e2x4;       y(0)=2

Q: solution of the differential equation (x +3) y’ / (2x -3y -4) = 5

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Q: Find the gene solution of the differential equation y+2xyy'-e-2yy'=0

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Q: Find the general solutions of the given differential equations.

A: In this question, we solve the system of differential equations by the method of elimination.

Q: Find the particular solution to the differential equation: 2(y')² ( y" = 1- when +3) x = 0, y = 1…

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Q: -y'-11ly 0

A: Given differential equation is y''-y'-11y=0

Q: Find two linearly independent solutions of the differential equation, then write the general…

A: We Know That,  If y1(x),y2(x) is a fundamental system of solutions, then the general solution of the…

Q: The equation x² + e¤y = c defines an implicit solution of the differential equation

A: We have to differentiate the given equation with respect to x first.

Q: Determine the solution of the differential equation by separating the variable dy ,3x-2y + x²e-2y dx

A: given differential equation dydx=e3x-2y+x2e-2y claim- solve the differential equation by separating…

Q: (D3-2D2 – 3D)y = 0

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Q: Find the particular solution that satisfies the differential equation and the initial equations.…

A: Find particular solution to given differential equation

Q: (2x + 3)y' = y + (2x + 3)2 ; when x = -1 & y = 0

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Q: Find the general solution of the given higher-order differential equation. у" - 2у" — Зy' — 0 y(x) =

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Q: The solution of the differential equation y-=y is Select the correct answer.

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Q: Find three linearly independent solutions of the given third-order differential equation and write a…

A: We are entitled to solve only one question at a time. So, I am providing you solution of first…

Q: Find general solutions of the differential equation      y'=y+y^3

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Q: find the solutions of the differential equations that satisfies the given initial conditions:…

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Q: Find the general solution for the differential equation. y' = 2 - x³ + x6

A: Given query is to find the solution of the differential equation.

Q: Find a differential equation whose general solution is 9t y = c₁e⁹t + c₂e-²t = 0

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Q: Find the general solution of the following system of differential equation.

A: We will find out the required solution.

Q: Solve this first order linear differential equation:  y'-3x2y=ex^3

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Q: 6. (x- y)dy+(x+y)dx = 0

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the other…

Q: Find general solutions of the differential equation     y'=(4x+y)^2

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Q: y'= 2.xy /(x² – y² )

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Q: 2. (x'y* +2x²y– y²)+(x*y³ – 2x³ )y'= 0 when x = 1, y =1 %3D

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Q: Determine the particular solution given the differential equations and conditions. 2= 3e* , y = 6…

A: dydx=3ex, find the particular solution and the function

Q: Solve the first-order linear differential equation  y'-3x2y=ex^8

A: From the given problem:   y'-3x2y=ex8ordydx-3x2y=ex8   As we know that the standard form of linear…

Q: 8. y+는y-3x,y(3) =4

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Q: The solution of the differential equation y^'=-2xy is a family of solutions of

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Q: Find the particular solution of the differential equation y’ + 7x = 0, at y = 0, x = 3. y = 63x2/2 y…

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Q: Find the general solution of differential equation 3y" + 2y' -8y = 0

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: Solve the Higher Order Differential Equation y'' + 3y + 2y = x^2

A: We have to solve the given higher-order differential equation y''+3y'+y=x2.

Q: Find the solution of differential equation (Dª - 6D³ + 3D² - 12D + 4) y = 0

A: Solution is here

Q: Find a differential equation whose general solution is 7t y = c₁e²t + c₂e-5t = 0

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Q: Determine the solutions of the 1st-order linear differential equations below 3x2y′ = 2y(y −3)

A: Use separable variable method

Q: y'= x* - 2xy; when x = 1, y = 1 %3D

A: Given. We are given a differential equation and following y' = x³ -2xy We need to find the order of…

Q: Solve the given third-order differential equation by variation of parameters. y"' – 3y" + 2y' =…

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Q: Determine the solution of the differential equation у"+2y" - 5y - бу%3D0 that has values y= 3, y = 6…

A: The differential equation y'''+2y''-5y'-6y=0 where y0=3,y'0=6,y''0=12. Rewrite the equation using…

Q: (1+ x)y" + (4x + 5)y' + (4x + 6)y = e-2x

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Q: Find general solutions of the differential equation  (x^2-y^2)y'=2xy

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Q: 2xdy + y(2 + y²x) dx = 0.

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