Which one is non linear differential equation O a. d³y +3x Y - 10y = x dy dx3 dx O b. dy + 8xy = 2x dx O c. d?y dx2 dy V = e=3x -6x dx O d. d?y dx2 d. dy - Y +(2x² + 5) = 0 dx

Q: Solve the equation by the method o f linear differential equations dx (1-3xy) y² dy xy³ = ² + C yx³…

A: The given problem is to solve the given ordinary differential equation by the method of linear…

Q: y is related to x through the differential equation: dy dx = ax + bx² + dx³ and y = c when x = 0…

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Q: 1. Find the order (write in number) for * y² d²y dx2 d5y 3x + 4x = 0. dx5 Your answer 2. + 4x = 0 is…

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Q: H3. Solve the following differential equations dy 1) 2) d²y dx² +4+4y=x²²e-²x, dx d²y dy -6 +9y=e³x…

A: Sol:- 1) y'' +4y' +4y=x-2e-2xy'' +4y' +4y=e-2xx2The general solution to axy''+bxy'+cxy=gx can be…

Q: Consider the two ODEs dy dx dy dx +y=0 + y² = 0 equil eq.2 (a) How are the two equations different…

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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.