Solve the initial value problem: 9y/" – 12y + 17y = 0, y(T/4) = -2, y(T/4) = 1. Give your answer as y =. .. . Use x as the independent variable. (2x) Answer: y= e (7V13 sin(x – 4x) +26 cos 12 V13 (x - 4x)| V13 (T-4x))| 13

Q: If the following eq. is exact, then solve it (y cos x + 2xe) + (sin x + x²e + 2)y' 0.

A:

Q: I.x''-9x=cos(t) II. x''+9x=cos2(t) III. x''+4x=sin(2t)   Solve equation-(I) using the method of…

A: We are entitled to solve only one question at a time. Given - x'' - 9x = cost To find - Solve…

Q: Solve 6 cos(2t) = 6 sin?(t) + 3 for all solutions 0 <t < 27. t = Give your answers accurate to at…

A: Formula used: cos(2t)=1-2sin(t) Signs of trigonometric ratios: In the first quadrant: All are…

Q: On another planet, after t seconds, Cora hurls a projectile with initial velocity vo and angle from…

A: On another planet, after t seconds, Cora hurls a projectile with initial velocity v0 and angle θ…

Q: Solve 424 sin2 x-1 1 for x e (0,).

A: Note:

Q: Solve for x Sin(1/2x+77)=cos(x-9)

A:

Q: Solve, sin β = - 12/13, π &lt; β &lt; 3π/2.

A: sinβ=-1213, π&lt;β&lt;3π2

Q: Solve the following equation for y(x): y" + 4y = 6 cos 3x + 20 sin 3x

A:

Q: 5. Which equation can be solved by referencing the graph below? -1/2 -11/4 3 cosx – 1 = sinx O…

A: The range of both cosine and sine function is .The value of the sine function is zero for all…

Q: Find the smallest positive solution x: (sec(x)+4)(sec(x)+4) = 4

A:

Q: Solve 4x cos(3x) dx using Integration by Parts. 4x 3 + sin 3x + 4 cos 3x + c

A:

Q: Chosse the correct answer. A particular solution of x'' + x' - 2x = 2sin2t is given by: Xp(t) =…

A: Given non-homogeneous differential equation x''+x'-2x=2sin2t    ...(1). We have to find the…

Q: 27. Evaluate: cos 2) - sin 6 4 /3 /2 2 2 1 V2 V3 2 2 1 V2 2 None of the above. + |

A: Hence option (c) is correct.

Q: 3. (a) Use an appropriate factor formula to express sin(x) + sin(3x) as the product of a factor of…

A: (3)According to question factor formula to express (sin x+sin3x)As we know that sin(A)+sin(B)=2…

Q: Solve the equation (2cos x - √3)(2 sin x - 1) = 0 on the interval [0, 2π).

A: To solve the equation 2cosx-32sinx-1=0 on the interval 0,2π. Solving the given equation.…

Q: Cos 0=-80/89 and 0 terminates in Q2

A: Given:  cos θ=-8089 and θ terminates in Q2. To Find: The value of θ

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.