5) Solve the differential equation given by the Cäuchy-Euler method or equidimensional equation. x²y" + 10xy' + 8y = x² Answer: y = C₁x ¹ + C2x-8 + 1 30 x2

Q: The solution of the differential equation tan xdx + tan ydy = 0 is

A: Using variable separable method.

Q: 2) Solve the differential equation: (D² – 11D + 28)y = 50 – e30x + e 4x

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

Q: dy + (3х — 7)у 3 5x7 | dx

A: Consider the provided D.E,

Q: The differential equation has as a solution. Applying reduction order we set y = uxª. x² d²y dy dx²…

A:

Q: Solve the differential equation (D+ + 5D² + 4) y = sin x + cos 2x.

A:

Q: Show that any two rows of a matrix can be interchanged by elementary row transformations of the…

A: According to the question,

Q: Solve the differential equation: dy/dx = 2 + sqrt(y -2x + 3)

A:

Q: Determine the solution of the differential equation: (3tanx - 2cosy)sec²x dx + tan xsin y dy = 0

A:

Q: Solve the differential equation: dy + (2x – 7)y dx 8x9

A:

Q: (16x y² exy + y sec² (xy) - 2x + 3y) + (16x² y e4xy + x sec² (xy) + 3x)y' = 5

A: Let us consider the equation Mdx+Ndy=0 The equation is exact if ∂M∂y=∂N∂x The solution of the…

Q: (y - 3y + 2)√9+ x²dx + x²dy = 0

A:

Q: Q1) Solve the following differential equations: 3. (x- 1)+ 2(x- 1)-4(x-1) + 4y = (1-x)?

A:

Q: If the differential equation: (y5 + kx²y¹ + 3x)dx + (5xy¹ + 16x³y³ – 4y)dy = 0 is exact, find the…

A:

Q: Solve the differential equation by variable seperable method  (ey+1)cosxdx+eysinxdy=0

A:

Q: B) Solve the following differential equation (use fasy division method). y+ 2y" - 29 y' - 30 y = 0

A: Solution

Q: Form the differential equation by eliminating constants a and b from y = a(b – z)(b+1) + 52. %3D

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

Q: 2. Determine the form of a particular solution of the differential equation. Do not evaluate the…

A: