Identify the type of the equation dy dx and solve it.

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 dy/ dx for the given equation. y = xx-15x dy/dx=

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Q: Solve DE  P2-70+12,where p=dy/dx

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Q: Find dx y= % dx

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Q: dy O. Solve for dx a²y³ = 2x

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Q: dy + 56y = e dx Solve -- 15 dx

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Q: By using an appropriate substitution, solve the equation x'dy+(xy+2y² )dx=0

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

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Q: dy ху Solve dx (1+y2)

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Q: d²y dx dy dx tial equation f

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Q: Solve dy/dx=ax+by+c

A: We need to use substitution method to convert it into separable form

Q: 7cot (e*) e*dx xp, e2x +1

A: Given integral

Q: Solve Dipferential Eg. 3. dy dx 2xy' e +2xy +Y こ 2

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

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Q: Determine whether the equation is exact. If it is exact, find the solution.  dy/dx=−(Ax−By)/(Bx−Cy)

A: Given differential equation is  dydx=-Ax-ByBx-Cy It can be written as…

Q: Solve the equation y (x + 1) dy/dx = x ( y2 + 1).

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Q: Solve D.E て Cx+ヴ+2x)dx +(29)dy

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Q: Solve the equation dy a - x- = a dx dy + dx

A: The given differential equation is a - xdydx = ay2+dydx.First, we will simplify this.a - xdydx =…

Q: H.W. // Solve dy - 3y = x? dx

A: Given  dydx-3y =x2Given equation is of the form dydx+py = Qx   I.F = e∫pdx∴solution of differential…

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: Find dy/dx for the equation: y= (e2x+1)/(1-2x)2

A: The given equation is,

Q: Find the equation of the solution to dy/dx=x4y through the point (x,y)=(1,5).

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Q: dx t dy =

A: Please check step 2 for the solution.!

Q: dy dx2 xp

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Q: Find the solution dy y =Dxy dx

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Q: d’y dy Solve -+3y=e dx dx

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Q: dx = In|x - e* + C

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Q: - one 2y(y? – x)dy = dx

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Q: dy -15Y+ dy 4x Solve +56y = e*. dx? dx

A: Please refer the attached image for complete solution.

Q: _5. 2/xy = 3 ху

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Q: Solve the equation dy y xy-3 dx

A: In this question we will use basic of solution of differential equation.  If differential equation…

Q: Solve the equation: dy dx - (cot x) · y = (cosec x) y

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Q: Solve the equation J =dx = ! - 1

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

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

Q: (2у^2 х - у) dx +xdy %3D0

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Q: | (1+2x) e#dx

A: If the limit exists and is a finite number, we say the improper integral converges . If the limit is…

Q: e2a+1 dx 3. .

A: the given integral is: ∫e2x+1dx we have to evaluate the given integral.

Q: or which value of a the equation dz dy dx -1 oes hold? D a. 2 O b.1

A: We are asked to find the value of a.

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

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Q: Solve the following exact equation   (y+ 2xy³) dx+ (1 + 3x²y² + x) dy = 0

A: The given equation is y+2xy3dx+1+3x2y2+xdy=0. The equation is of the form Mx,ydx+Nx,ydy=0 where…

Q: Solve the exact equation   dy/dx= y/x

A: Given, dydx=yx

Q: SOLVE THE DIFF EQ (ху-бх?)dy - (2y2-9ху)dx

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Q: Solve the equation. dx 3 dt t+ 6x хе

A: We have to solve given problem:

Q: Solve the equation. (3xy)dx + (y- 3x®)dy = 0 -

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Q: Solve this: 1- dy dx + 2xy= -2x3

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Q: Solve the given dy=x√ e+~

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Q: Solve the equation dy /dx = k y

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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.