d²y dy -4. +3y = e²x dx? dx

Q: dy 2x + (4x + y – 6) = y dx

A: The solution is given below in the next step:

Q: FIND THE GENERAL SOLUTION OF THE DIFFERENTIAL EQUATION: ( y^2 + 3 )dy = ( y - 2 ) lnx dx

A: To solve given differential equation first we separate the variables and then taking integral on…

Q: Solve the given differential equation. dy %3D (2y+3\2 a. dx 4x+5,

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Q: Find the general solution of the differential equation.

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Q: Solve the given differential equation d'y dy +2x- -12y= x' (In x) .2 dx dx

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Q: Find the general solution for the differential equation. dy -20xy-5x 0 dx y = D

A: We have to find the general solution for the given differential equation.

Q: xy'dx + e* dy = 0

A:

Q: 2. Find the general solution of the differential equation: dy dy -5 + 6y = e* dx? dx

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Q: dy (x2 — 9) + ху %3D0 + ху — 0 dx

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Q: Find the solution of the differential equation d'y d²y dy + 11 + бу — 0 dx +6 dx3 dx2

A: The solution is given as

Q: Find the complete solution of the differential equation d²y dy +6- + 9y = 5x2 -3 dx dx2

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Q: Show that the given differential equation is exact and find the general solution. (2y'e* +3x? )dx…

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Q: Find a general solution to the given differential equation. y" +4y'- 45y 0

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Q: Find the general solution of the given differential equation. d'y 4 dx dy dy 5- = 0 - dx dx

A: Given differential equation is d3ydx3−4d2ydx2−5dydx=0 We have to find the general solution of the…

Q: Find the general solution of the differential equation. dy (a) xVx – 6 dx dy (b) dx

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Q: Find the general solution of the differential equation d²y dy + 4 dx2 dx + 4y = e2* sin(2x).

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Q: Зху 2 1.(3y'e* – 1)dx + (2ye 3 Зху 3xy'e*)dy = 0 -

A: The given differential equation is; (3y3e3xy -1)dx +(2ye3xy + 3xy2e3xy ) dy = 0

Q: Find the general solution of the given ordinary differential equation: d'y dx² + 4y = 3 e5*

A: The given differential equation is d2ydx2+4y=3e5x. Consider the homogeneous part d2ydx2+4y=0. The…

Q: Find the general solution of the given differential equation (2y − x)dy + (4y + x − 6)dx = 0

A: Given differential equation, 2y-xdy+4y+x-6dx=0 Find the general solution of this differential…

Q: 5. dx- 2xy dy = 6x³ y² e¬2y* dy

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Q: The general solution of the differential equation d'x ,dx -4 +5x = 0 is ? .2 dt? dt

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Q: Find the general solution for the differential equation.   dy/dx+2xy=6x

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Q: Find the general solution of the differential equation: dy dy 52 + 6y = e3z dx² dx

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Q: d²y dy e* - 2 + 2y = dx² dx cos(x)

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Q: Find the general solution of the differential equation (D²+D= 12)y=3e cos(2x).

A: We are given the following differential equation D2+D-12y=3e-xcos(2x). The characteristic equation…

Q: Solve the given differential equation d' y dy x2 -+ 2x – 12y= x² (ln x) dx² dx

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Q: The general solution of the differential equation d?x dx -4 +5x 0 is ? dt? dt

A: Let's solve.

Q: solve the given differential equation. dy/dx = 2x(y − 1)/(x2 + 3)

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Q: 3. Find the general solution of the differential equation: dy dy 5 + 6y = e2r - dx? dr

A: Given differential equation       D2-5D+6=e2x

Q: Find the general solution of the differential equation.

A:

Q: 4.У(х + у)dx + (х + 2у — 1)dy 3D 0

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Q: Find the general solution of the differential equation dy 2x2 + 3y? Xy dx

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Q: Find the general solution to the differential equation dy x3 dx x² – 1

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Q: Find the general solution of the differential equation dy/dx = 3y + 5

A: Find the general solution of the differential equation dydx=3y+5

Q: Solve the given differential equation (x + 3y – 4) dx + (x + 4y – 5) dy = 0 -

A: We have to solve the given differential eqn:- (x+3y-4) dx + (x+4y-5) dy = 0 Dy/dx = (-x-3y+4) /…

Q: Find the general solution of the following differential equations. d²y , dy (a) - 6y = -5+3x² + dx…

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Q: Find the general solution of the given differential equation. y dx - 5(x + y') dy = 0 x(y)

A: This is a problem related to differential equation. Based on the general formula we will answer the…

Q: dy , 2(y+1) 2) + 2(у + 1)4 dx х+1

A:

Q: Find the complete solution of the given Differential equation d'y dx? dy 4+3y e2x dx

A:

Q: Find the particular solution of the differential equation. dy 7 - 7x° e -×' ; y(0) = 4 dx y =

A: See below the answer and calculation

Q: Give the Particular Solution of the following Differential Equation d² y dy +2 -8y = 0 dx² dx IBC:…

A: To find the particular solution of given differential equation.

Q: (y³ − 3y + 2)√9+ x²dx + x²dy = 0

A: To find the general solution to the given differential equation.y3-3y+29+x2 dx+x2 dy=0

Q: d the general solution of the differential equation dy - 6ху %3D 2ху? dx

A:

Q: The general solution of the differential equation (x + y)°dx – (y² – 2xy – x?) dy = 0 is

A: Here we have to find general solution of given differential equation

Q: Find the general solution of the given differential equation. dy + (1+2x)y =r'e- %3D dz

A: See the details solution in below

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.