dy Зx+2у-5 dx 2х+у-3

Q: Find the solution of the differential equation that satisfies the given initial condition. dy 7xe',…

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Q: - ysin)dn t x sint

A: See the details solution in below

Q: dy The solution of the differential equation +y= exy? with y(0) =1 is |3|

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Q: Find the general solution of the differential equation below and check the result by…

A: Given : dYdx = 12x2+4x

Q: dy he general solution of the linear differential equation r y = x is

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Q: For the differential equation (D³ + D² + 4D + 4)y = 0 When x=0, y' = -1, y" = 5 Find y when x = r

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Q: Define which curve solves the differential equation and passes through the point (0,2) ?

A: Given   dydx= 3x2y2We find which curve sloves the differential equation and passes through the point…

Q: 6

A: Now,  we will find the particular integral.

Q: The auxiliary equation for the differential equation x²y" + 3xy' + y = 6 . (Select the correct…

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Q: dy Write down a differential equation of the form dt solutions all approach y = as t- →8. y' = = 78…

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Q: The differential equation of y = 35Ax – 8B is %3D - dy dx 35 %3D dy da %3D dy da? dy dz2 = 8

A: We can find the differential equation as below

Q: - ydx + x(Inx – Iny - 1) dy = 0, when x = 1, y = e %3D

A: Let's find.

Q: d²y dy Show that --6y = 0 is the differential equation representing y = ae³* +be-2% by | eliminating…

A: Given d2ydx2-dydx-6y = 0A second order linear , homogeneous ODE has the form of ay''+by'+cy - 0For…

Q: Find the differential equation associated to the equation: y = Ce" +C,e" - 5xe 1. 2. y = Cx'e +C,xe.

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Q: Transform into Bernoullis' form the differential equation (2² + y?) dr - (ry) dy = 0. | dy = Ty dr…

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Q: Which differential equation is homogeneous? A х2 dx + [ydx - хydy]3D0 В xdx =2x³dy- ydx © y = 9x² +…

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Q: Solve the non-linear differential equation (- esc" y) dy + 2x cot y = x³ , given that y(0) = 9.

A: We have to solve given problem:

Q: Find the solution of the differential equation that satisfies the given initial condition dy 9xeY,…

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Q: What is the degree of the differential equation? d²y dy 1 2 %3D `dx' dx2 2 3 4

A: Given differential equation is dydx12+y2=d2ydx2......1. We have to find the degree of the…

Q: dy Solve the differential equation by the homogeneous equation. de

A: Let us consider y= vx in this homogeneous equation then proceed further

Q: Vhat is the solution of the differential equation y) + 27y(4) + 243y2) + 729y = 0

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Q: (a) Solve the second order differential equation below: d?y dy - 7 +10y = 4e3x dx dx?

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Q: Solve the differential equation (dy)/(dx) = 80 - 2y, such that y = 70 when x = 0.

A: The given differential equation is dydx=80-2y. Solve the above equation as follows.…

Q: Find the equation which satisfies the separable differential equation dy – 18x dx with the initial…

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Q: O Solve the differential equation by method of undermined coefficients d'y d'y 6dy =2e* dx' dx? dx

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Q: Use the form above to write the solution to the differential equation y' – by + 8y = 4tťe" with y(0)…

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Q: Determine whether y = e = e2= 3e is a solution to the differential equation dy 2y = 0. dz? dr

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Q: Solve the differential equation: dydx= 2y2/sqrt(x)    y(1)=154

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Q: Solve the Differential Equations by Inspection (40xy-21y*)dx– (35xy³-20x²+20x?y-14xy*)dy=D0

A: The given differential equation is: 40xy-21y4dx-35xy3-20x2+20x2y-14xy4dy=0   …* Here  M=40xy-21y4…

Q: What is the degree of the differential equation dy = 5a4 – dr3 6x2 ? |

A: Clearly the exponent of (dy/dx) is 3.

Q: OSolve the following differential equation by using undetermined coefficient method. d²y dy…

A: If special form of X is e^(ax) or pe^(ax), Then trial solution y for P.I. is Ae^(ax)

Q: x³y'"' +3x?y" +5xy' – 5y= 0

A: Auxillary equation

Q: What is the degree of the differential equation? d?y 2 %3D + dx dx?

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Q: Solve the differential equation. dy/dx = 9x sqrt(y), for y ≠ 0

A: Given : dydx = 9xy, y≠0

Q: dy nd order differential equation is da? dy dr +2 +y = 0

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Q: Q2: Solve the differential equations: dy y %3D = tan y 1- dx

A: As it is a multiple type question , so I am just solving the first one 1) The differential equation…

Q: d'v V is 6. The auxiliary equation of the differential equation dt?

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Q: Solve the differential equation by separating method dy = (3x? +1), dx (2y –1) given x =1 when y = 2…

A: Method of Separation of Variables (for First-order  ODE) : If the differential equation is of the…

Q: Find the equation which satisfies the separable differential equation dy – 14x dx with the initial…

A: We will find out the required solution for given differential equation.

Q: y = cqe¯* + C2e4* – C3e* + cze2x

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Q: use the substitution  to solve the given differential equation. 33.t2y′′+3ty′+y=0,t>0

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Q: What is the order of the differential equation 4y' (t)- 5y(t) cos(8t) = 7 [y' (t)]4 - t² [y(t)]³?

A: Given differential equation is 4 y'(t)-5 y(t) cos(8t)=7y'(t)4-t2y(t)3   To Find: The order of the…

Q: dy Solve the non-homogeneous differential equation - dr z + y + 4 3x + 3y + 4

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Q: -2JX e dx =1, y (1) = 1 dy | %3D

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Q: Solve the non-linear differential equation (- csc² y) dy + 2x cot y = r³ , given that y(0) = 9. da

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Q: (c) Obtain the solution of the differential equation, dy dr-y = x² when x = 1 and y = 1.

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Q: Find a EX I a differential equation whose general solution is y = c, e2€ + C,te2€ -t 6€

A: A differential equation contains independent variables, dependent variables, and the differential…

Q: The differential equation formed from y = Ae3* + Be7ª is: y"-10y'+35Y3D0 y"+12y'+35y%3D0…

A: we have to form the differential equation from the given equation. I have explained in details…

Q: folve the given differential equation by finding Factor. appropriate integraing an Gxy dx t (ay…

A: Let's find.

Q: For the differential equation: (D³ + D² + 4D + 4)y = 0 when x = 0, y = 0,y' = -1, y" = 5 %3D %3D %3D…

A: Here we have to find the solution of differential equation.

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.