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Practice: Linear DE IVP
Related Topics
Wize University Calculus 2 Textbook > Differential Equations
Linear Differential Equations
5 Activities
Solve the differential equation
d
y
d
x
+
(
tan
x
)
y
=
sin
x
\frac{dy}{dx}+\left(\tan x\right)y=\sin x
d
x
d
y
+
(
tan
x
)
y
=
sin
x
subject to
y
(
2
π
)
=
π
3
y\left(2\pi\right)=\frac{\pi}{3}
y
(
2
π
)
=
3
π
.
y
=
−
ln
(
cos
x
)
y=-\ln\left(\cos x\right)
y
=
−
ln
(
cos
x
)
y
=
−
ln
(
cos
x
)
+
π
3
y=-\ln\left(\cos x\right)+\frac{\pi}{3}
y
=
−
ln
(
cos
x
)
+
3
π
y
=
cos
x
[
−
ln
(
cos
x
)
]
y=\cos x\left[-\ln\left(\cos x\right)\right]
y
=
cos
x
[
−
ln
(
cos
x
)
]
y
=
sin
x
[
−
ln
(
cos
x
)
+
π
2
]
y=\sin x\left[-\ln\left(\cos x\right)+\frac{\pi}{2}\right]
y
=
sin
x
[
−
ln
(
cos
x
)
+
2
π
]
y
=
cos
x
[
−
ln
(
cos
x
)
+
π
3
]
y=\cos x\left[-\ln\left(\cos x\right)+\frac{\pi}{3}\right]
y
=
cos
x
[
−
ln
(
cos
x
)
+
3
π
]
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Check Submission
More Linear Differential Equations Questions:
Practice: Linear DE
Solve
x
2
d
y
d
x
+
3
x
y
=
1
x^2 \dfrac{\de{y}}{\de{x}} + 3xy = 1
x
2
d
x
d
y
+
3
x
y
=
1
Practice: Linear DE IVP
Practice Question
Solve the differential equation
d
y
d
x
+
(
tan
x
)
y
=
sin
x
\frac{dy}{dx}+\left(\tan x\right)y=\sin x
d
x
d
y
+
(
tan
x
)
y
=
sin
x
subject to
y
(
2
π
)
=
π
3
y\left(2\pi\right)=\frac{\pi}{3}
y
(
2
π
)
=
3
π
.
Practice: Linear DE IVP
Practice Question
Solve the differential equation
d
y
d
x
+
(
tan
x
)
y
=
sin
x
\frac{dy}{dx}+\left(\tan x\right)y=\sin x
d
x
d
y
+
(
tan
x
)
y
=
sin
x
subject to
y
(
2
π
)
=
π
3
y\left(2\pi\right)=\frac{\pi}{3}
y
(
2
π
)
=
3
π
.
Practice: Linear DE
Q:
\textbf{Q:}
Q:
Solve
x
2
d
y
d
x
+
3
x
y
=
1
x^2 \dfrac{\de{y}}{\de{x}} + 3xy = 1
x
2
d
x
d
y
+
3
x
y
=
1
Practice: Linear DE IVP
Practice Question
Solve the differential equation
d
y
d
x
+
(
tan
x
)
y
=
sin
x
\frac{dy}{dx}+\left(\tan x\right)y=\sin x
d
x
d
y
+
(
tan
x
)
y
=
sin
x
subject to
y
(
2
π
)
=
π
3
y\left(2\pi\right)=\frac{\pi}{3}
y
(
2
π
)
=
3
π
.