2 dy + ydx = 4xdx

Q: Solve the differential equation. 2yy''=1+(y')^2; y(0)=2; y'(0)= -1

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Q: Solve the differential equation (x²+1)y' + 3x(y-1)=0 and y(0)=2

A: Topic: Differential equation

Q: b).Solve the differential equation - 22 - 3y = 4x – 5 + 6xe²× by method of undetermined coeficients.

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Q: Solve the differential equation. xy' - 2y = x2, x > 0

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Q: solve the differential equation xy'+(1+2x2)y=x3e-x^2

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Q: find the solution of differential equation x²y' = xy + x²ex

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Q: Solve the differential equation: y'= 4x(2 – y), y(0)= -6 |

A: Given  DE is y'=4x2-y , y0=-6 Solve the DE

Q: yp²_2xP+Y =o X 0:

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Q: solve the differential equation   x(4ydx+2xdy)+y3(3ydx+5xdy)=0

A: Given that the differential equation is    x(4ydy+2xdy)+y3(3ydx+5xdy) = 0

Q: Solve the differential equation 1. x³y" – 2a²y" + 6xy' = ,2, x(2 ln x + 1). -

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Q: Solve the differential equation d2 y/ dx2 + 4y = e3x

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Q: Solve the differential equation. 4. (2x – 3y) dx + (2y – 3x) dy = 0

A: Just I have used the method of exact differential equation and then solved it .Final  solution is in…

Q: solve the differential equation x2yy'=(y2-1)3/2

A: To solve the given differential equation :-

Q: (D² + 1)y = x²e3x

A: An equation which involves derivative of one or more depenedent variable with respect to one or more…

Q: Solve the differential equation 3yy' 7x.

A: Given differential equation is 3yy'=7x

Q: Find two linearly independent solutions of the differential equation, then write the general…

A: We Know That,  If y1(x),y2(x) is a fundamental system of solutions, then the general solution of the…

Q: 2. Solve the differential equation y" + 3y csc V3x

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Q: Solve the differential equation: (2y+3)y'=-(1-3t²)

A: Given that: (2y+3)y'=-(1-3t2)

Q: solve the differential equation 3(3x^2 + y^2)dx - 2xydy = 0

A: Given: Differential equation 33x2+y2dx-2xydy=0 To find: Solution to the given differential…

Q: Solve the differential equation   3(3x^2+y^2)dx-2xydy=0

A: Explanation of the answer is as follows

Q: V1- y²dx + /1– x²dy = 0 %|

A: Topic:- Differential equation

Q: y' + 5xey = 0

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Q: Solve the differential equation ydx (2x + 1) (da – dy).

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Q: 2. (4x + 3)ydx + 4y²dx = 0

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Q: (1+ x²)y' = x*y4

A: The given differential equation,(1+x2)y'=x4y4

Q: Solve the Linear differential equation x+4y = 7x. dx

A: I have used linear differential equation method.

Q: Solve the differential equation: p3-4xyp+8y2=0

A: Given differential equation p3 - 4xyp + 8y2 = 0                                             (1)…

Q: Solve the differential equation y" - 4y' + 4y% =

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Q: (3x2y-6x) (x³+2y) dy dx 3.

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Q: 2 y'+ =y = 3x %3D

A: Given: y'+2xy=3x3

Q: Find the solution of differential equation (D² + D)y = x² + 3x + e3x

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Q: 8. y+는y-3x,y(3) =4

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Q: Solve the differential equation: p2+2pycotx=y2

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Q: Find the solution of differential equation (Dª - 6D³ + 3D² - 12D + 4) y = 0

A: Solution is here

Q: x2 + 2x + 1 y' = y +2

A: The given differential equation is: dydx=x2+2x+1y+2 We can solve this ODE by using separation of…

Q: d²y dx2 +y = csc x

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Q: Solve the differential equation  P3x-p2-y-1=0

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Q: Solve the differential equation y=xp+p-p3

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Q: Determine the solution of the differential equation: 2x* у" + 5ху' + у%33х+2

A: See the attachment

Q: Solve the Differential Equation. 1. dy/dx=y-xy3e-2x

A: The differential equation is given as , dydx=y-xy3e-2x

Q: solve the differential equation dy/dx = 4xsec y

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Q: Solve the first order differential equation (x2 - 3bxy + 2b2y2) (xdx + ydy) = xdy - ydx

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Q: Solve the differential equation (3y² – 1) (4x3 +x) and dx find the particular solution if y0)=2

A: using the variable separable in the given equation we have  (3y2-1)dy=dx(4x3+x) now, integrating the…

Q: Solve the differential equations. dy = (y²xe** – 3x²y)dx

A: Given:- dy=(y2 xex3 -3x2y)dx  To find:- General solution for given differential equation

Q: Solve the linear differential equation dy y 2x2 dx

A: This ODE can be solved as follows:

Q: Solve the differential equation: (3x2y3ex+y3+y2)dx+(x2y3ex-xy)dy=0

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Q: 2xdy + y(2 + y²x) dx = 0.

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.