Find the general solution of the given bessles differential equation at (0, 0) d²y dy 1 = 0 625. +x- + (x2 dx2 dx

Q: dy Solve the differential equation = -3 cos x-4x if y(7)=0. dx

A: To solve the given differential equation.

Q: the book is "First Course on Fuzzy Theory and Applications"

A: The formula to compute the membership fuctions is as follows.

Q: 8. Solve the differential equation (x+y)² dy = a². dx

A: Let x+y=t This implies 1+dydx=dtdx

Q: Solve the differential equation given below 3y2(dy/dx)+y3=e-x

A: We have to solve given differential equation:

Q: у y = '2 when x = Га 0= x phx + hp (hq - zx) X

A: Compare this equation with,So here we have

Q: 3. Solve the given differential equation d?y dy – 3 y = x ² (In x ) dx 2 dr

A:

Q: (x+1)dy = (2xe* – xy – 2y)dx

A:

Q: Find the general solution for the differential equation 2x dx + coty (1+x²)dy = 0. %3D

A:

Q: Enter the notation for each graph. C or K Example:C5 Eaxmple:K6

A:

Q: Solve by using Homogenous differential equation method: 3- dy dx = 3y - x + tan(14)

A: y=xsin−1(Cx31​)Explanation:

Q: What is the general solution to the differential equation d/dx [dy/dx] =6x+3 ?

A: We have ddxdydx = 6x + 3. d2ydx2  = 6x + 3 Let dydx = y'. d2ydx2 = y'' Therefore, the given…

Q: dy dx = x+1 2(y+3)

A: The given differential equation is dydx=-x+12y+3. Solve the given differential equation. Here we use…

Q: 4 dz = (4x²y + x²)dx + (²x³ — y²)dy = 0

A:

Q: Consider the differential equation curve if it passes through (1,-1). dy 2y dx x = 0. Find the…

A:

Q: y'+Sy +b4= x²eX Sin5x Find the general solution of the equation.

A:

Q: Find the general solution of the d dy 2c-2v = dx 3 sin(x/2)√ √cos³(x/2)

A:

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.