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- need help solving Solve the separable differential equationdxdt=x^2+1/49,and find the particular solution satisfying the initial conditionx(0)=5. x(t)using Method of Undetermined Coefficients and by Inspection, solve this: (D3 + D2 − 4D − 4)y = 3e −x − 4x − 6 a. What is the complimentary solution? b. What is the particular solution c. What is the general solution of the differential equation?3- Solve the differential equation..(b and a are variables) (D2+4D+3)b=1+2a+3a2
- Follow the steps to solve the initial value problem: the general solution 4ty'-4y = t-8 a) Identify the integrating factor, μ(t). μ(t)= b) Find the general solution. Use C for the arbitrary constant. y= c) Solve the initial value problem with y(1) = -1solve the given initial value problem. Describe the behavior of the solution as t → ∞. 10.x′=(5−131)x,x(0)=(2−1)Solve the equation dy/dx=6x^5(6+y^2)^3/2 An implicit solution in the form F(x,y)=C is _ C, where C is an arbitrary constant (Type an expression using x and y as the variables)
- Solve: y'+(2x-1)y-xy2=x-1; y(0)=3, explicit solution of the form y=f(x) Also: a) Determine the value of y(1)find the solution of the given initial‑value problem. Describe the behavior of the solution as t → ∞. 7.x′=(1−51−3)x,x(0)=(11)Using an operator , solve the following differential equationsd2y/dx2- 10dy/dx + 25y= 0
