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

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

Q: h(x)=2x^4+5x^3+29x^2+80x-48  Zero:-4i The remaining zeros of h are

A: h(x) = 2x4 + 5x3 + 29x2 + 80x - 48 We know, if a complex number is a zero of a polynomial, then its…

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: Solve the differential equation dy + 2y sin x cos x = 4cosx dx cos?x subject to y = 3 when x = .…

A: The given differential equation is cos2xdydx+2ysinxcosx=4cos5x.....(1) with condition y=3 when x=π6

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: Bhavika Investments, a group of financial advisors and retirement planners, is providing advice on…

A: Let x represents the dollars invested in stock fund and y represents the dollars invested in market…

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

A: y=xsin−1(Cx31​)Explanation:

Q: d2y/dx2 + 5 (dy/dx) + 6y = 10 cos x  What is the complementary function of this differential…

A:

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

A:

Q: Find the matrices of the following linear transformations from R³ to R³. The orthogonal projection…

A:

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

A:

Q: d’y (b) dx + y =: dx 1+x

A:

Q: Suppose that 0.3210 approximates 0.3245. How many significant digits does the approximate have? O 3…

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.