Solve by separating variables. dy = 12x 5y" dx y =

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Q: dy 2y - 2xVy dx

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Q: Solve each problem with complete and neat solution dy 1. dx +y = e2x 2. (x + 3y)dx – xdy = 0

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Q: Find dx y= % dx

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Q: Solve by separating variables. dy = 4x°y dx 3 (Type an exact answer.)

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Q: dy Q10., Solve (1+ x²) + y = tan¬1x. dx

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Q: Solve (x + y)² dy = a

A: Topic- Differential Equation

Q: Solve the attached equations  by the method of undeterminedcoefficients.

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Q: = (x²ye 3xy²) dy dx

A: dx = x2yey3 - 3xy2 dy

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Q: what is the general equation to the equation dy dx² dx

A: Here we have to find the general solution of the given differential equation,…

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Q: Solve the equation: (dy/dx) + (3y/x) + 2 = 3x, y(1) = 1. %3D

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Q: Solve  (dy/dx) = e2x+y

A: The given differential equation is dydx=e2x+y

Q: S S, 4cosx² dx dy

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Q: x - 2xy - 3y" : y(1)=; dx

A: The given equation is first order Bernoulli's ordinary differential equation. y'+p(x)y=q(x)yn The…

Q: Solve - dx? dx dx * dx +y = (1 –etj?

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Q: (6х + у?)dx + (2ху — Зу?)dy %3D0 |

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Q: Solve: dy/dx = 2 + sqrt(y - x+ 3). %3D

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Q: dx J (5 + x5)2

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Q: If x3 + y3 = 2, find the value of at the point (1,1). dx?

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Q: Solve dy = (1+ 3ytan a) da

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Q: Solve the attached equation by variation of parameters ?

A: d2ydt2+y=sec xy''+y=0m2+1=0m=±i α+βi, α=0, β=1 Yc=c1eαxcos(βx)+c2eαxsin(βx)Yc=c1cosx+c2sinx Y1=cos…

Q: Solve for dx/y-xdy/y^2=0

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Q: Solve following diffrential equation x(dy/dx)+6y=9x^2

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Q: Solve dy/dx = 1 + exp(y - x+ 5).

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Q: (2xy²-2y) dx +(3x²y - 4x)dy = 0

A: The given differential equation is;  (2xy2-2y) dx+(3x2y-4x) dy=0

Q: (6x+y^2)dx+y(2x-3y)dy=0 solve using exact equations (diff eq)

A: I am attaching image so that you understand each and every step.

Q: (2x² – ye")dx – et dy = 0.

A: Consider the differential equation  2x2−yexdx−exdy=0

Q: 2. 6y? dx - x ( 2x³ + y ) dy = 0

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Q: Solve four questions of the following DEs dx 2 - y = e*/2 dy

A: compare this DE with  so here we have

Q: Solve: dy/dx = 1 + exp(y - x + 5).

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Q: 1. (5x + 4y) dx + (4x – 8y³) dy = -

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Q: 1 dy 3 x*y3 y 4 dx

A: Given that    dy/dx -(3/x)y = x4y1/3  Here we have to solve the given differential equation.

Q: Find appropiate in tegrating and solve the equation an 3 323? dx + こ

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Q: Solve each of the equations. Integrating Factors Зу 3x?y + dx + (2.x + 6 In x) dy = 0 %3D

A: The differential equation Mdx+Ndy=0 is said to be exact, if ∂M∂y=∂N∂x. The solution is: ∫Mdx⏟Take y…

Q: 1. y = (5x + 2) (3x² + 7)7

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Q: Please, someone who knows how to solve! dy/dx=x^2/y

A: Solution: The objective is to solve the given differential equation

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Q: solve xe dy + ) de

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Q: 7. dy = (x – 3y)dx

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Q: Solve: 30 dx 1 -Sis vdv %3D * V - 10-0.01v2 15

A: Given: ∫030dx=v10-0.01v2-∫15vvdv

Q: ex V1-e2x 1. S dx

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Q: Use the method of separation of variables to solve, dy 2x(3x +1) Зу? — 1 dx given that y(0) = 2.

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Q: Classify and Solve dy + (1- 2x)y = 4x ,x >0 dx

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Q: = y° dy dx

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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.