a) 1" – 3y + 2y = 4x² b) y" + 2/ + 5y - 6 sin 2x + 7 cos 2x c) y"+ 2y + 4y = cos 4x

Q: Solve the following differential equations. dy/dx + 3y/x  = 6x2 when x=1, y =0.

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Q: Find the value of b for which the differential equation 5xy (yešey + x) dx + (bæe*v) dy = 0 is…

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Q: mine the differential equation function whose general solution is the family 2x y = 1+206**

A: The solution a DE is given byClearly it has one arbitratry constant, hence the DE must be a first…

Q: Show that the following differential equations are Bernoulli and solve for the general solutions.

A: Given differential equation is 2ydx+xx2lny-1dy=0 We need to show that the given differential…

Q: The Cauchy -Euler equation is a a differential equation with variable coefficients. صواب İhi

A: The Cauchy - Euler equation  is a linear homogeneous ordinary differential equation

Q: Odr + (2r +1- Or) d0 = 0

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Q: Qui Solve the following ordinary differential equations: x=5y³x³ de 2) (3y³-x¹)dx= 3xy¹dy

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: Find the solution to the differential equations sec³ xdy = csc² y dx πT y (n) == 4

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Q: Find the solution to the differential equations xdt = (t³ — 3t) In² xdx

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Q: xdy+(y- xy + 2)dx =0 dx=0

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Q: A solution to the partial differential equation. 9. is dy?

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Q: dy Зх + 2у dx Зх + 2у — 1 ||

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Q: 1. Solve the ordinary differential equation, dy z+zy? dz

A: Let us solve the Ordinary differential equations in the next step.

Q: (y - 3y + 2)√9+ x²dx + x²dy = 0

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Q: • / = Ity

A: y'=x-yx+y It is a homogeneous differential equation. Put, y=vx⇒y'=v+x·dvdx Therefore,…

Q: 2x³y' = y(y² + 3x²)

A: Given differential equation is 2x3y'=yy2+3x2. Simplify it…

Q: Find the solution of the following differential equations: Parallel Lines (2x + y + 1) dx + (4x +2y…

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Q: Solve the differential equation by using the linear equation method 2r dt +4

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Q: Solve the differential equations by any appropriate method and indicate the method you have…

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Q: Two roots of a cubic auxiliary equation with real coefficients are m1=-1/2 and m2=3+i. What is the…

A: Given that two roots of a cubic auxiliary equation with real coefficients are m1 =-1/2 and m2 =3+i.…

Q: Find a general solution to the differential equation r"+3r + 4x = 0.

A: To write the characteristic equation of x''+3x'+4x=0, replace x'' by x2, x' by x, and x by 1 in the…

Q: An object with a temperature of 88°C is placed into the water of 25°C. After 15 minutes, the…

A: An object with a temperature of 88°c is placed into the water of 25°c. After 15minutes , the…

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.