Solve (x + y)² dy = a

Q: Solve (y2 + xy) dx - x2 dy = 0.

A: We have to find out the solution of the given differential equation

Q: solve homogeneous equation by linear method 2. x(dy/dx) + y = x*sinx

A: We use linear differential equation method

Q: solve  (y2+2x2y)dx+(2x3-xy)dy=0

A: Consider the given differential equation:

Q: Solve dy _ _2+ e²x + y – 1 2* +, %| dx

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Q: Solve for dy y = sec 2x² dx

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

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Q: Q3: Solve (x + y)dx - x dy = 0

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Q: Solve x2y dx=(x3+y3) dy

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Q: Solve simultaneous equation dx/dt=5x-9y , dy/dt=2x-y , x=3 , y=2

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Q: Get the solution: x^2 dy/dx - y^2 = 2xy

A: Get the solution: x^2 dy/dx - y^2 = 2xy

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

A: Solution is given below:

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

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Q: (x + у—4) dx — (х — у+2)dy %3D 0

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Q: Solve x2y dx=(x3+y3)dy

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Q: Solve 2- (2xy - 2y)dx + (3x'y-4x)dy 0

A: We have to solve given problem:

Q: Solve using Bernoulli's Equation. y(6y^2 - x - 1) dx +2x dy = 0

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Q: y' = 5y + y?

A: First we convert the given Bernoulli equation into linear differential equation. After that we…

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

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

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

Q: Solve: dy/dx = y(xy³ - 1).

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Q: Solve the equation dy --y=-y*(x² +x+1); y(1)=2. dx

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Q: Solve (2x-10y)dy/dx+y=0

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Q: Solve dy = x'y° - xy t. dx %3D .3

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Q: Solve dy 2x-y = dx

A: Differential equation and it's solution

Q: Solve the equation (4y + 2x – 5 dx + (6 y + 4x – 1 dy = 0 subject to the initial condition y(-1)= 2.…

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Q: 2. 2x² dx – 3,/y secx dy = 0

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Q: . Find the complete solution of dx + 2x Y = 2x²y²e*dx V

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

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

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Q: Solve the Solution (6x+y^2)dx+y(2x-3y)dy=0.

A: Given differential equation is in the form Mdx+Ndy=0 Where, M=6x+y2 and N=2xy-3y2 If ∂M∂y=∂N∂x then…

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 equation 3(y+1)dx-(x+y +3)dy =0.

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Q: Solve : Y dx -(x - 2y² )dy= 0

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Q: Solve the equation. (4x2 + 2x-1y)dx + (x²y° - 1)dy = 0

A: Given: Given differential equation is 4x2+2x-1ydx+x2y3-1dy=0 we want to solve this ODE

Q: Solve 2(ax+Y) dx + (3x +Y) dy =0 ,y) =2

A: SOLUTION-

Q: 8. dy V1+ /1+x -1

A: We need to evaluate the following integral ∫-18dy1+1+x

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 the DE: 2 dy 3 dx 3x² + y² xy

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Q: Find the solution of y (4x + y) dx – 2 (x² – y) dy = 0

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Q: 2x2 x² - 4x +4 ey JTeży + 4)°/½ dy

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Q: Solve d² y dy² – 3 +2y= xe3 dy dx

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Q: : Solve (3.xy² – y³) dx- (2x²y-xy²) dy = 0

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Q: Solve x3y dx= (x3+y3)dy

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

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Q: 3. 2X dy 2. %3D

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Q: Solve: 3(1 + t?)(dy/dt) = 2ty(y³ - 1). %3D

A: Solve the integral 31+t2dydt=2tyy3-1. Use the separation of variable method. 1yy3-1y'…

Q: Solve this DE:  (x-y-2)dx + (3x+y-10)dy = 0

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Q: Solve using variaiton of parameter (D³ – 3D +2)y = (1+e2x)-1/2

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

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Q: Solve the (1+) d x = (b an y -x) dy

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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.