Give the seneral solution of the following differential equations. dy % = 4cos6x dx

Q: Solve the following separable first order Differential Equation: dy 1 y(0) 6. d.x 1+x2'

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Q: Find the general Solution of the following differential equation dy dx2 +12 +3by-72 xe 4e xp

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Q: Obtain the general solution of the following higher order differential equation. (D6 – 64)y = 0

A: We have to find the general solution of the differential equation D6-64y=0. For this, we have to…

Q: ( D3 + 6D? + 25D ) y = 0

A: Given: D3+6D2+25Dy=0

Q: Find the solution of the following differential equation: y" – 2y' = x – ee

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Q: Solve the following differential equation.  y2dx — x(2x + 3y)dy = 0

A: Given:             y2 dx-x2x+3y dy=0 Let y be the independent variable. Divide by dx…

Q: Solve the following differential equation: ydx + rdy + xdx 0. 1- 2?y2

A: Solution is in step 2

Q: Solve the following differential equations: dy xy+y2 x2 dx

A: solve differntial equation

Q: For what value of a, the differential equation 4ydx + 4axdy = 0 is exact ? O a = 4 O a = 1 O None of…

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Q: Find the implicit solution to the following differential equation dy 2ху + 3у — 4x -6 dx

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Q: dy 4 + y² + (9 + x²) = 0 dx

A: We have to use variable separation method.

Q: Find the general solution of the following differential equation. xdy + (y – ay?)dx = 0 -

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Q: find the general solution of the following differential equation x2D2y + xDy + 9y = 0

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Q: xdx + ydy = (x+ x¯ +y° )dx

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Q: Solve the following homogenous ordinary differential equation: dy (у + x)- 3D (у — х) dx

A: We have to solve homogeneous ordinary differential equation.

Q: dy + y = 20 + 10x dx

A: To solve the given differential equation

Q: If p = Ae³9 + Beª, what would be the differential equation?

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Q: Find the solution of the following differential equation. dy 3. dr + y = 2xy?e*

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Q: solve the following differential equation xyy' = y^2 + x^2

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Q: Solve the following differential equation d'y dy 4x- + 8y = x3 +3 dx2

A: To determine :- The given differential equation  x2 d2ydx2 - 4x dydx + 8y =x3 + 3

Q: 6xydc+(ty+9x?)dy =0

A: We have to solve the differential equation…

Q: Solve the following homogenous linear differential equation: (D^6+6D^4+9D^2)y=0

A: To solve the given differential equation

Q: yln ydx+ (1+x )dy =0

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Q: 5. (D²2D+1)y=e* arctan x

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Q: (y – x²)dæ + (x + y²)dy = 0.

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Q: = 8e7x

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: State the ORDER and DEGREE of each of the following differential equation 3x 1. 4y d²y 2. = 3y' + x…

A: The order of the differential equation is the highest order derivative occurring in the solution.…

Q: (18D³ – 33D? + 20D – 4)y = 0

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Q: 2. y Inxlny dx + dy = 0

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Q: Solve the following differential equation dy _ 4y³ +4x²y+4x3 Зху2 +2x3 dx

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Q: y" — Зу + 9у — 0

A: Given; y''-3y'+9y=0

Q: Solve the following differential equation.  (x2 + 1)dx + x2 y2dy = 0

A: Given x2+1dx+x2y2dy=0 Apply formula ∫xndx=xn+1n+1+c,     n≠-1

Q: Find the solution of the following Differential Equations 13) xdy – ydx = 0

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Q: dy = 5x + 4 4. dx

A: If equation of the form :fx,y,dydx,d2ydx2,⋯⋯=0 ,then  Order of the equation is the order of highest…

Q: SOLVE THE FOLLOWING HOMOGENOUS LINEAR DIFFERENTIAL EQUATION. SHOW DETAILED AND COMPLETE SOLUTION.…

A: The given differential equation is: D3-7D+6y=0 So, the auxiliary equation is: m3-7m+6=0

Q: Solve the following differential equation dx – 2xydy = 6x³y?e-2y²dy

A: By dividing the equation by dy we get a Bernoulli equation.  We solve  the Bernoulli equation.  And…

Q: xdy- (4x²-2y)dx = 0

A: This question is based on solution of linear differential equation.

Q: ( x³y³ + 1 ) dx + x*y? dy = 0 %3D

A: We have to solve the following differential equation, x3y3+1dx+x4y2dy=0

Q: x csc y dx + xdy = 0

A: Given that: x.cscyx-ydx+xdy=0

Q: (y – x + xycot x) dæ + xdy = 0

A: Given differential equation is (y-x+xycotx)dx+xdy=0

Q: O Find the complementary Solution of the differential equation: gy=a

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Q: SOLVE THE FOLLOWING HOMOGENOUS LINEAR DIFFERENTIAL EQUATION. SHOW DETAILED AND COMPLETE SOLUTION.…

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Q: xdy- ydx = 2x(x2+ y²)dx

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Q: Find the general solution of the following differential equation dy (x² + 1) + 3ху — 6х. dx

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Q: SOLVE THE FOLLOWING NON-HOMOGENOUS LINEAR DIFFERENTIAL EQUATION: (D^2+4)y=4cot2x

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Q: Solve the following differential equation: dy/dx = 2/x^2 + 4

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Q: x+3y=x².

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Q: Solve the following using the method of solving Homogenous Differential Equations. dx x2+t2Vt2+x2 dt…

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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.