Find the general solution of the equation (15x 2 y+12xy 3 +2e 49 )dx+(5x 3 +18x 2 y2 +8xe 49 )dy=0.

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

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Q: 1/ Solve the equation: (3x²+2xy") dx + (2x²y) dy = 0, where y(2) = -3

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Q: Find the general solution of the given Attached equation

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Q: 47. Solve for the general solution of (5x+3y-4) dx+(x+y-2) dy=0. a. 5x2 + 4xy + y? = C b. 4x? + 5xy…

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Q: Find the general solution for the equation dy/dx=(2x/y)e^y+2x

A: Given the differential equation, dydx=2xyey+2x    ⋯⋯(1) Rewriting equation (1),…

Q: Solve for the value of C in the equation (2x^4e^y + 2xy^3+y)dx+ (x^2y^4e^y-x^2y^2-3x)dy=0 when…

A: given 2x44ey'+2xy3+ydx+x2y4ey-x2y2-3xdy=0

Q: Find the general solution of the given Attached equation

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

A: Solution is given below:

Q: Find the general solution of the given Attached equation

A: Given: differential equation, To solve the differential equation first, substitute

Q: Find the general solution of the given Attached equation

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Q: Determine the solution of the equation using coefficient s linear in two variables metho: (x − 3y +…

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Q: The general solution of V – 2x)dx+(2xy+ 1)dy=0 is?

A: (y2-2x)dx+(2xy+1)dy=0y2dx-2xdx+2xydy+dy=0y2dx+2xydy-2xdx+dy=0d(xy2)-2xdx+dy=0Now integrate both…

Q: Find the general solution of the followin d² y equation 5 + 4y = 8 +5. dx2 dx

A: General solution is sum of particular integral and complimentary function.

Q: Find the general solution of the equation, d²y dy 4 + Зу %3D0 dx dx?

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: Solve the Euler equation d²y dy 3x? dx -5у%3D0 +x dx given that y(1) =1 and y'(1) = 2.

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Q: Solve for the value of C in the equation: dy – (y + xy³)dx = 0 when y(0) = 1

A: The given differential equation dy-y+xy5dx=0dydx=y+xy5dydx-y=xy5 It is first-order Bernoulli's…

Q: FIND THE GENERAL SOLUTION ye^2x dx = (4+e^2x)dy

A: Let's find.

Q: (8x² y² -2x + 4xy² - x) dx + (2xy + x + 2y + 1) dy = 0

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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: Solve the general solution of the given DE:(2r+y)dx-xdy=D0*

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Q: determine the general solution of the equation. x(y'-x)dx-y(y'+x)dy=0

A: we will integrate this equation and find the solution of the equation

Q: dy 2y+3\2 dx 4x+5. ||

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Q: Consider the equation (y² – 2x)dx + (2xy + 1)dy = 0. The general solution is ... xy² – x² + y =€ A…

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Q: 1/ Solve the equation: (3x²+2xy") dx + (2x³y) dy = 0, where y(2) = -3

A: This equation is exact differential equation

Q: Solve the particular solution of the equation dy/dx = 3x² - 2x, when y=2 and x=-1.

A: We can solve the given problem as follows:

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

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

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Q: Evaluate: | (3y – 2)dx + y²dy C

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Q: dx 7. Find the general solution to y+ 2x = 5y³. dy

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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 equation with homogeneous coefficients. (3y² – x²)dx – 2xydy = 0

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

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Q: How / Find the solution for the equation @ y√ √ x² + y ² dx = x (x + √x² + y²) dy 1

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

Q: Obtain the general solution to the equation. dy + 9x +8 - dx The general solution is y(x) = ,…

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Q: Find the general solution of the equations given below: dy i) 4 - y = x² – 3x; dx2

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Q: d*y dy 4. = x? + e". - dx4 dx2

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Q: Solve the following equations: a) d²y dy dx² - 3 = 9, when x = 0, y = 0, dx dy 3 b) 2 d²y - dx² dx -…

A: Use the given differential equations.

Q: Choose a non-exact equation and solve. (xy- 2y?)dx - (x2 –- 3xy)dy=0 1.

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

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Q: Find the general solution of dy d' L+64 y. 3 dx -=0 dx

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Q: Solve the equation by using the method of variation of parameters: d2y dy dx = X 2. 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: the general solution of DE x2 dy/dx=4x2+7xy+2y2

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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: find the general solution of the given equation. d2y/dx2 - 6 dy/dx + 9y = 0

A: Given: d2ydx2-6dydx+9y=0 Now plug dydx=D ⇒D2-6D+9y=0 Its auxiliary equation is,…

Q: dx 2. = 3x. dt

A: The given differential equation is                                                    dxdt=3x…

Q: Solve for the value of C in the equation: (3xy² + 2y)dx + (2x²y + x)dy = 0 when y(1) = 2

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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.