Answer with explanation:
The given differential equation is
y" -y'+y=2 sin 3x------(1)
Let, y'=z
y"=z'

Substituting the value of , y, y' and y" in equation (1)
z'-z+zx=2 sin 3 x
z'+z(x-1)=2 sin 3 x-----------(1)
This is a type of linear differential equation.
Integrating factor

Multiplying both sides of equation (1) by integrating factor and integrating we get


4.84 x 10^8 is 485,000,00 in scientific notation.
A. (3, -4)
3 shows the point’s position on the x-axis, and -4 shows the point’s position on the y-axis
Answer:
b= 26
Step-by-step explanation:
there are 2 triangles
area of the right angles triangle
1/2bh= 1/2 x3 x4 = 6cm²
for the next triangle we use pythagoras theorem to calculate the height
3²+4² = h² = 9+16 = 25
h = √25 =5
1/2bh = 1/2 x 5 x8 = 20
adding the two areas will give the area of the figure = 20 + 6 = 26
Answer: 3.5
Step-by-step explanation: