Q1. Find the particular solution of dx/dt=5t^4 that satisfies the condition x(6)=0?.
Q2. Find the particular solution of the given differential equation for the indicated variables
dy/dx-yx^2=0;x=0 when y=1?.
Q3. Find the solution of the initial value problem: dx/dt = 3sint / x^2, x(0)=1 (Give a fraction)?.
Q4. Find the solution of the initial value problem: 7t^2*dx/dt=7/x, x(10)=9?. (find x=?)
Q5. Solve the equation x^2*dy/dx+8xy=9 (find y=?. Use C as arbitrary constant)?.
Q6. Find the solution of the equation x*dy/dx-6y=7x subject to the condition y(1)=3?. (Find the particular solution as y=?).
Q7. Determine whether the given equation is the GENERAL solution or a PARTICULAR solution of the given differential equation: dy/dx + 4x^3y=0, y=5e^-x^4/4?.