Solve the equation dy /dx = k y

Q: Solve d 4me-m2 dy dm

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Q: Solve dy/ dx = x^2 + x for y(1) = 3.

A: Given that dy/dx = x2 + x, where y(1) = 3.

Q: dy O. Solve for dx a²y³ = 2x

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Q: S16 -X2 メー dy dx + x?+yz

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Q: Solve the dy/dx=y/x +cosec(y/x)

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Q: Solve d'y dy 5 + 6y = 0 dx dx 2

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Q: Solve the equation 2y dx + x(2 + x²y)dy = 0.

A: The solution is given as

Q: L, x*e*** dx 3+1

A: 3.1) ∫-12x2e(x3+1)dx Let u=x3+1 du=3x2dx

Q: - у = 3x-2 4x-5

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Q: Solve : dy =>(x² -1). dx

A: The given differential equation is…

Q: Q2: solve the equation 3 dx 2х * dy y

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Q: Solve dx/y-x = dy/y+x = zdz/x2-2xy-y2

A: Solve:dxy-x=dyy+x=zdzx2-2xy-y2

Q: Solve  (dy/dx) = e2x+y

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

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

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Q: 1+x dx V1-x

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Q: Solve x'dy +y'dx = 0

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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: Q4) Solve the D.E y+2x* dx ya

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Q: Solve the equation xy^3 dx + (y + 1)e^(-x) dy = 0.

A: Given:  xy3dx+(y+1)e-xdy=0xy3dx+(y+1)e-xdy=0(y+1)e-xdy=-xy3dxDividing equation on both sides by…

Q: Solve 4 x*dy +y*dx = 0

A: The given differential equation is: x4dy+y4dx=0x4dy=-y4dxdyy4=-dxx4

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

A: The given equation is,

Q: Solve the equation dy y + dx ху 3

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Q: dx J (5 + x5)2

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Q: dY X 5) Solve: dx Y(3) = 5

A: dy/dx = x/y This is a variable seperable differential equation.

Q: d’y dy Solve -+3y=e dx dx

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Q: yM 9+e dx

A: y = e7x9 + exdydx = ?

Q: dy 10. y-x dx dx

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Q: Solve dy 2x-y = dx

A: Differential equation and it's solution

Q: Solve dy/dx =(4x+y+1)2

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

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

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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 2 x d zy dx=

A: Given: The second order differential equation is x2d2ydx2+4xdydx+2+xy=0

Q: Solve the equation 3(y+1)dx-(x+ y +3)dy =0.

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Q: Solve: (r* + y") dy = xy dx

A: we have to solve the given differential equation . (x2+y2)dy=xydx

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

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Q: Solve  (dy/dx) = (y/x)

A: By  variable -separable  method  we separate the variable

Q: Solve the equation xy^3 dx + e^(x^2) dy = 0.

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

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Q: solve xe dy + ) de

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Q: 50. y dz dx dy

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Q: Solve | 1+e' dx + e'|1- |dy = 0 y,

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Q: Solve the equation 3(y+1)dx-(x+y+3)dy =0.

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Q: x sin x dx = log y dy %3D

A: Let's find.

Q: Solve dy/dx +2t tan x=y2

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Q: Solve the equation. dy dx dx -- dy %3D

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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.