d²x dx +2 +x=1 dt²2 dt F(0) = F'(0) = 0

Q: Find f. r'(x) = Vx(3 + 10x), (1) = 11 (x)

A:

Q: Solve y (e* + Inx) dx + (3 – y) dy = 0

A: The given ordinary differential equation can be written as:

Q: Find F'(x). x+7 F(x) = (8t + 4) dt F'(x) = F

A: Differentiate wrt x

Q: Find F'(x). x2 8 F(x) dt t + 3 Jo F'(x) :

A:

Q: find f'(a) f(t)=4t+20/t+7

A: Given: ft=4t+20t+7   -1

Q: Find the general solution of dy/dx=x-4/x^2-5x+6

A: Explanation of the answer is as follows

Q: Find dx/dt given that 4x^2+9y^2=13x  x=1,  y=-1 and dy/dt = 10

A:

Q: Find f. f'(X) = Vx(6 + 10x), f(1) = 11 f(x) =

A:

Q: If 46 +3ƒ(x) + 5x²(ƒ(x))³ = 0 and ƒ(-1) = −2, find f'(-1). ƒ'(-1) =¯

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Sve SVé -3 dt u = Ve' – 3

A:

Q: y y=f'(x) 2

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: What is the derivative 7 of y = (3x + 1)²? 21 dx dy = 6 (3x + 1)²¹ dx = dy 6 (3x + 1)² dx = 7 (3x +…

A:

Q: ln p= a + b/t + cln(t) + dt^2 Is this equation linear or non linear

A: To determine whether the below equation is linear or non linear. lnp=a+bt+clnt+dt2

Q: ( 3x²y + e' )dx + ( x³ + xe' - 2y)dy=0

A: We will first check whether given equation is exact or not ,then we find general solution…

Q: Given f(t)=7e^t+1 df/dt=

A:

Q: 2y´´-5y´+3y=0   y1=e^x

A:

Q: Find f. f"(x) = Vx(6 + 10x), f(1) = 9 f(x) =

A:

Q: dy _ xy+2y- x- 2 Solve dx xy – 3y+x – 3

A: I am attaching image so that you understand each and every step.

Q: find f

A:

Q: Find  f'(a)

A: Here given function as ft=2t+1t+3

Q: Find F'(x). F'(x) = F(x) = x + 5 [**5 X (4t + 9) dt

A: To find .

Q: dy/dt + 2y = e^(4t). Using the guessing method because 2 is constant. I need help solving this…

A: Solution of the first order differential equations

Q: A jungle has 400 monkeys, and it is estimated that the maximum population of the monkeys in the…

A:

Q: Find dx/dt, dy/dt, dy/dx for  x=9t-9ln(t), y=6t^2-6t^-2

A:

Q: A rental truck costs $45.45 for a day plus 94¢ per mile. (a) If x is the number of miles driven,…

A: Given that, a rental truck costs $45.45 for a day plus 94c per mile.

Q: x² +2 .3 x' +6x

A:

Q: Find the general solution to this exact equation: y + (2ty-e^(-2y) ) dy/dt = 0

A:

Q: Let f(z) = 4z +1 f(2) =

A: Given  f(x)= 4x+1

Q: Write an equation for the function graphed below 15+ 14+ 13+ 12+ + + + -7 -6 -5 -4 -3 -2 -1 -1 -2 -3…

A: A following graph:To Find:Equation of the above graph.