The general solution of the following differential equation y(3) -8y = x- 1 is: y(x) = C + Cze* + cze *+ c4 cos(x) EX y(x) = ce2x+C2e-2x + C3 cos(2x) tes sin(x) - 2x2 +c4 sin(2x)- 2x O This option OThis option y(x) = cje" (3 Cos(2x) +rze "si n(v3x) + Ar + B

Q: y (2x + y 2) dx O a. y (2x + y) = Ce - 2(x + y) dy = 0

A: Given: The equation is y2x+y-2dx-2(x+y)dy=0. To find: Solution of the differential equation using…

Q: Explain on which basis do we use in the Vandermode matrix?

A: The Vandermonde matrix is a matrix that is often used in various mathematical fields, including…

Q: Solve the given differential equation. dy = 6x 5sec y dx (A) y = sin (x6 + C) B) y = x + C c) y =…

A: We use variable separable method to solve the given differential equation.

Q: Solve the second order differential equation ÿ + 2y = 3 cos 2x A:y = c, cos(vZx)+c2 sin(vZx)+…

A: General solution to a nonhomogeneous linear differential equation a2(x)y''+a1(x)y'+a0(x)y=r(x) is…

Q: Find the general solution of the differential equation: d²y + 36y = 0. dx? y = C1 sin 6x +C2 cos 6x…

A:

Q: y(7) −4y(6) −4y(5) + 56y(4) −156y(3) + 224y'' −176y' + 64y = ex cos(x)−3e2x + xe−4x What is the…

A: y(7) −4y(6) −4y(5) + 56y(4) −156y(3) + 224y'' −176y' + 64y = ex cos(x)−3e2x + xe−4x

Q: Which sets are equal to the set (a, b, c)? {b, b, b, x, x, x, C, C) {b, b, b, b, b, c, c, c, a, a)…

A: What is Set: Set is the language of mathematics. Through set, we can define mathematical expressions…

Q: Which of the following differential equations is an exact differential equation (x +)dx- xy đy-0…

A:

Q: Find a first order differential equation for which y2 sin(xy) + (2xe)cos(x)) = 3 is an implicit…

A:

Q: The solution of the following differential equation is y(x) = 4 cos 2(x) cos² (y) %3D

A: We have to use variable separation method.

Q: The solution of the non-exact differential equation 2ydx + (3y-2x)dy = 0 is (2x/y)+3lny=Dc O…

A: Given  2ydx + (3y - 2x)dy = 0

Q: Here R^3 - {(0,0,0)}. please proof this using submersion. thank you.

A: Given: R3=(0,0,0) To find: The set M=(x,y,z)∈R3:x2+2y2+z2=4xyz a submanifold of R3.

Q: differential equation is given as

A: In this question, the concept of the differential equation is applied. Differential equation A…

Q: (a) y = Ae + Be+Ccos 2x + Dsin 2x

A:

Q: 19. The solution of the differential equation cos (2) dx - sin (²) + COS (²)]dy = 0 is A. y sec ² =…

A: Only one question is solved. Solving more than one question is solved in the policy of bartleby.

Q: The solution to the differential equation (x²2 -4xy-2y²)dx+(y² -4xy-2x²)dy=0 a. y²(y-6x)+x²(x-6y)=c…

A: To find the solution of the following differential equation. x2-4xy-2y2 dx+y2-4xy-2x2 dy=0

Q: y=(b+x²)* +(1+x°)* ( \3x² +x – c )cos²(4x) y'=? %3D %3D

A:

Q: -x2 Solve the differential equation xsec 2ydx + e by separation of variables. dy=0

A:

Q: Which of the following equations is NOT a variable separable differential equation? A. 2xydx + (x² +…

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Q: If a nonhomogeneous linear differential equation has g (x) = sin 5a particular solution? O A sin Br…

A:

Q: Please solve the following differential equation: dy (e2x + 4) – y dx (х — у) (4х + у)dx — x(у —…

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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.