d³y d?y dx3 dx2 =0 is given by %3D The solution of the differential equation

Q: Q.3 Solve v = e»+vã dx

A: Use the variable separable method and Integrate to get the solution of given differential equation.

Q: dy Solve the differential equation xyp - (x² -y² )p - xy = 0,where p = dx

A: This differential equation can be solved using factorization.

Q: Solve (y2 + xy) dx - x2 dy = 0.

A: We have to find out the solution of the given differential equation

Q: ア- 3 2x dx -dy = 0 Solve dk +

A: Solve the first order differential equation, using exact differential equation method.

Q: dy + 56y = e dx Solve -- 15 dx

A:

Q: Solve (e-e-ye-*) dx + e¯ªdy = 0 Write the solution explicitly if possible.

A:

Q: * - 1 2. Solve dx y +1

A: Given: dydx=ex-1y+1.

Q: ay (2х-10у), +y = 0 dx Solve

A:

Q: SOLVE FOR CL is constant : A² jª (a²-2₁²x² + x²) dx = 1

A: The given integral is A2∫-aaa4-2a2x2+x4dx=1. We have to find the value of a.

Q: Solve the first order equation (3r²y + 2ry)dz + (z³ + x² + 2y)dy = 0.

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

Q: ay +1= e**y Solve Y dx

A:

Q: Find the solution. dy x3- 2y dx xy= 3x3 2y2 +

A:

Q: Solve the differential equation. dy = 3x2y2 xp

A:

Q: Using an operator , solve the following differential equations d2y/dx2- 10dy/dx + 25y= 0

A: This question is based on solution of differential equation using D operator.

Q: dy +ycotx-cosec x. dx Solve

A:

Q: Solvex =x-Y dy dx Write the solution explicitly if possible.

A:

Q: V1- y?dx + V1- x²dy = 0

A: Proceed as shown below

Q: dy = e2x-3y, using separable variable method. dx Solve the differential equation

A:

Q: C) Solve the equation x = x² + 3y X- dx

A: Given: xdydx=x2+3y

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.