Question

Solve dy÷dt - 2y =4-t
​

Answer 1

Step-by-step explanation:

Answer

Eddie

Aug 1, 2016

y

=

C

e

2

x

+

1

2

Explanation:

d

y

d

x

=

2

y

−

1

separating the variables

1

2

y

−

1

⋅

d

y

d

x

=

1

integrating

∫

1

2

y

−

1

d

y

d

x

d

x

=

∫

d

x

∫

1

2

y

−

1

d

y

=

∫

d

x

1

2

ln

(

2

y

−

1

)

=

x

+

C

ln

(

2

y

−

1

)

=

2

x

+

C

2

y

−

1

=

e

2

x

+

C

=

C

e

2

x

y

−

1

2

=

C

e

2

x

y

=

C

e

2

x

+

1

2